Use Maclaurin sereies to compute the lim x-> infinity e^(-2x^2) - cos(2x)/ x^2 *ln(1+5x) -5x^3

Compute x-+xX lim X-700 It Ttx Sinx 2) Lim X-70 CUSX-1 X3-1 1L-X

Use L'H rule to find lim(1 – 2x)/*.

lim as x goes to infinity of (square root 2x^2+3x-1)/(7x+1). Note: only put the square root on the numerator.

The average typing speed S (in words per minute) of a typing student after t weeks of lessons is given by S= 81t^2/12+t^2, t>0. Find limS as t approaches positive infinity

Evaluate limt-->0 (sin 3t)/(sin 6t) WITHOUT using L'Hospital's rule.

(2-)* sin(x3-1) Q1: limx-1 x-1

Rearrange lim x* so that we can apply L'hopital's rule. x-0+

Compute the lim as x goes to 0+ (e^x - 1 - x)/ (xe^x - x)

Suppose that lim as x approaches infinity of f(x) + x^2 = L for some number L. Then lim as x approaches infinity of f(x)/1+x-x^2 is?