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Homework section 1.4a x Use the squeeze Theorem x www.webassign.net/web/Student/

ID: 2834987 • Letter: H

Question

Homework section 1.4a x Use the squeeze Theorem x www.webassign.net/web/Student/Assignment-Responses/submit?dep 9903808 Facebook Twitter t Tumblr N Netflix E Mail YouTube Bank MyuAB ue BlazerNet Canvas P Western Civ calculus I own My Notes o Ask Your Teache -6 points SEssCalc2 1.4.031 x2, g(x) x2 cos 7nx, and h(x) x2 on Use the squeeze Theorem to show that cos 7nx) o. Illustrate by graphing the functions f(x) the same screen. a Since x2, g(x) cos 7xx, and h(x) x2. Then Let f(x) lim h (x) by the squeeze Theorem we have lim g(x) m (x) Need Help? Read Watch Chat About t Submit Answer save Progress Practice Another Version O-1 points SEsscale2 14.037 Ask Your Teacher Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (6x Ix 6l) Need Help? LReadIL watch Chat About It My Notes o Ask Your O -1 points SEssCaic2 1.4.041

Explanation / Answer

For the first problem. The first set of blanks is what the range of cos 7pix is. Cosine ranges in value from -1 to 1, so the blanks would be -1<=cos7pix<=1 then go through and multiply everything by x^2, so you have -x^2 which is f(x) <= x^2 cos 7pix <= x^2 which is h(x). Directly substituting 0 since x-->0 in for f(x) and h(x) the limit = 0, so the final two blanks are 0 lim as x approaches 0 of g(x) = 0

The second problem is direct substitution.

(6*6 +| 6-6|) = 36