Find each function value and the limit for ​f(x)=15−6x^2/5+x^2. Use −∞ or ∞ where appropriate.   Find:

Q: Find the limit of limx->-1 (x3-2x2+5)

A: Since this is a polynomial function,we can calculate the limit by direct substitution. We have The…

Q: evaluate the limit

A: Given that: The limit is limx→0 1 - 2x1x .

Q: Find the limit

A: For part (i) We have to find out the limit of the given function. For part (ii) We have to find out…

Q: Determine the infinite limit. x + 2 lim x--3+ x + 3

A: We have to determine infinite limit: limx→-3+x+2x+3 We know that finiteinfinite=0finite0=infinite

Q: Find the limit.

A: We have to evaluate the limit.

Q: What is the Limit of constant function?

A: The limit of a constant function is constant.   For example: Consider the constant function: In…

Q: By considering different paths of approach, show that the functions inExercise have no limit as (x,…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: find limit  lim 3x^2+2/9x^3-2x^2+7 x=infinity

A: Divide both numerator and denominator by x^2.And distribute the x^2 with each term.

Q: find the limit

A: Given, the data of x and f(x). Find the limit of f(x) when x tends to 2 and x tends to 6.

Q: By considering different paths of approach, show that the function below has no limit as…

A: Given: fx,y=x4x4+y2

Q: Find the indicated limit by using the limits lim (x, y)→(a, b) f(x, y) = 4 and lim (х, у) — (а, b)…

A: Given that: lim(x,y)→(a,b)f(x,y)=4, lim(x,y)→(a,b)g(x,y)=-5 To find  lim(x,y)→(a,b)f(x,y)g(x,y)

Q: Engineer Juan own a manufacturing company that produce deluxe table. In making x deluxe table will…

A: To find the limit of the average cost as x goes to infinity.

Q: Find the one-sided limit

A: To find:limx→-4- x2+2x+4

Q: Find the limit of the equation.

A: Limit x-> pi/4 means x is approaching pi/4 .Plug x=pi/4 in the expression.

Q: find limit x-->2 (-x2 + 5x - 2)

A:

Q: Find the limit. x!000 lim x→+0 et

A:

Q: Find the limit of  limitx->0= x2+4,

A:

Q: Find the one-sided limit

A: Given that limx→π+ xcsc x. Compute the limit as follows.

Q: Find the limit limit x tends to 0 6x2(cotx)(csc2x)

A:

Q: Find the limit using direct substitution. lim                      3x+1/2-x x-->-2

A: In the direct substitution method, straight way substitute the limiting vailue of x in the given…

Q: By considering different paths of approach, show that the functions have no limit as (x, y) → (0,…

A: Given: hx,y=x2+yy

Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether…

A: The limit of the given function

Q: Find the limits

A: Given that limx→0 1x-1+1x+1x. Compute the limit as follows.

Q: Find the limit limx→0sin5x−sin3xsinx.

A: Given, lim (x→0sin5x)-sin3xsinx Plug the value of x in the given function, ⇒sin5·0-sin(3·0)sin(0)

Q: cot3x Lim X-o cotx 0

A: Given limx→0cot3xcotxTo evaluate the limit:

Q: Identify a use of the lower and upper limits.

A: The lower and upper limits of the data set will not be plotted in the box plot.

Q: limit as x approaches infinity, 10x^5+x^4+31/x^6

A: Here an expression is x is given to us and we need to calculate the value of expression when x tends…

Q: Find the Limit: 1. lim (2x + 5) x--7 3. lim(-x + 5x 2) 5. lim 8(t - 5)(t - 7)

A:

Q: Calculate the limit

A:

Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

Q: limit as x approaches infinity, -2x^3-2x+3/3x^3+3x^2-5x

A: Here an expression in x is given and we need to find its value when x tends to infinity shown below.

Q: Find the limit by rewriting the fraction first. ху - Зу - 7x+21 lim x-3 (х.у) --(3,6) X+3 ху - Зу -…

A: Factories the numerator and cancel out common term than put the limit.

Q: Find the indicated limit algebraically. Show complete solution. 2x -x-3 1. lim x--1 2. lim () x+1…

A: Solution: Consider the given limit function is limx→-12x2-x-3x+1 We can factorized numerator and…

Q: By considering different paths of approach, show that the function below has no limit as…

A:

Q: correspondig limit x' +x -8x-12 a) lím x* +4x' +5x + 4x +4

A:

Q: 3) lim (x² + 1) X--1

A: Limit is a basic concept of calculus  which shows the behaviour of a function  when it tends to that…

Q: By considering different paths of approach, show that the functions have no limit as (x, y) → (0,…

A: Given: (x, y) → (0, 0)·g(x, y)=x2-yx-y

Q: Find the limit of the equation.

A: Given limit

Q: Find the limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…

Q: By considering different paths of approach, show that the functions have no limit as (x, y) → (0,…

A:

Q: Find the limits by rewriting the fractions first.

A: Given limit is, lim(x,y)→(1,1)xy-y-2x+2x-1

Q: Problem in Image please

A: We have to essentially evaluate the limit shown on the white board.[a, b] = [2, 6] Hence, a = 2, b =…

Q: Use the limit process to find f'(x) = limh -->0 f(x+h) - f(x)/ h for f(x) = 3/4x-7

A: Use derivative formula :-   f'(x) =  dydx = limh→0f(x+h)-f(x)h

Q: Find the limit:

A: Value of 1/infinity is 0.

Q: By considering different paths of approach, show that the function below has no limit as…

A: Since you have asked multiple questions, we will solve first one for you. If you want other question…

Q: Lim (sinx)* -0+

A: Given query is to find the limit of the expression.

Q: evaluate the limit.

A:

Q: Find the limit of  limitx->0[(4-sqrt(16+x))/x]

A:

Q: Find the value of the limit

A:

Q: Calculate the limit for the function f(x) : 13 x +4 over the interval [0, 4]. Verify your answer by…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.