Use limit theorems as needed to evaluate each of the following limits; if a limi

coexpennan

coexpennan

Answered question

2021-10-26

Use limit theorems as needed to evaluate each of the following limits; if a limit is real number, find it; if a limit is infinite, find which one; and if a limit does not exist, then write DNE.
limx0(3)xtan2x+3sin4x+xcos3xx

Answer & Explanation

unett

unett

Skilled2021-10-27Added 119 answers

Prior to setting the limit and solving the issue, simplify the given function.
limx0(3)xtan2x+3sin4x+xcos3xx 
(3xtan2xx+3sin4xx+xcos3xx) 
=limx0(3tan2x+3×4sin4x4x+cos3x) 
=limx0(3tan2x+12(sin4x4x)+cos3x) 
=limx0(3tan2x)+limx012(sin4x4x)+limx0(cos3x) 
=3tan0+12×1+cos0 
=0+12+1 
=13 
Answer: 13

Jeffrey Jordon

Jeffrey Jordon

Expert2022-07-03Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?