Evaluate the following limits. Some require Squeeze Theorem some do not. If you are using Squeeze Theorem, make sure it is clear how you bounded your function and why Squeeze Theorem applies. limx→03x4ecos⁡(1x2)

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Evaluate the following limits. Some require Squeeze Theorem some do not. If you are using Squeeze Theorem, make sure it is clear how you bounded your function and why Squeeze Theorem applies.  limx→03x4ecos⁡(1x2)

wheezym · Accepted Answer

In the question it is asked to calculate the limit of following function given below: limx→03x4ecos⁡(1x2) As cos⁡θ has values between -1 to 1. we can write it as −1≤cos⁡(1x2)≤1 multiplying it by e e−1≤ecos⁡(1x2)≤e1 now multiplying it by →3x4 3x3e−1≤3x4ecos⁡(1x2)≤3x4e1 as x→0;3x4e→0 and 3x4e−1→0 So by squeeze theorem or sandwich theorem Ux→03x4ecos⁡(1x2)=0

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Evaluate the following limits. Some require Squeeze Theorem some do not. If you

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