
Use Taylor series to find the limit e-rcosx-(1 – 22)3/2 lim 20
Use series to evaluate lim e x0 -(1+x) 2x X-0 2x (Type a simplified fraction.)
3"n! Test the following series En=1 for convergence. Hint: lim (1 + +3)" = = e n n-00
Find the following trigonometric limit: lim sin - Hint the substitution [((u-1)E)s01 u= t-n makes life 1. tm easier. Work inside the [...] first and then take the sine of your result, that is, use the rule that allows you to take the limit inside the sine function: lim sin(f(x)) n(Hm/s) sin x-a 2. Use the results we derived in class for power functions to find the derivative of g(x) (3x4 + v 4 atx Ans 3. When a function...
(1 point) Evaluate the limit: lim (------) = = DNE X-4
(4) Use MacLaurin series to evaluate the following limits. Do not use L'Hospital's rule. (a) lim-0 21+ucos g -3 sin e 136.23-1 (b) lim 0 sin(6x)(e-1-1)
(1) Evaluate the following limit using l'Hospital's rule. (Hint: Implicit differentiation and properties of logarithms) lim
Question 9 Use L'Hopital's Rule to evaluate the limit. ex -x-1 lim 22 X -> 0 Upload Choose a File
(18. a) Evaluate lim e sin (b) Evaluate lim x sin x 0 x (c) Illustrate parts (a) and (b) by graphing y = x sin(1/x).
(1 point) Evaluate the limit using L'Hospital's rule if necessary lim 200