Compute the following using limits. Show all work using calculus \lim_{x\

Lipossig

Lipossig

Answered question

2021-10-30

Compute the following using limits. Show all work using calculus
limxxsin(πx)

Answer & Explanation

Bertha Stark

Bertha Stark

Skilled2021-10-31Added 96 answers

Given:
limxxsin(πx)
xsin(πx)=sinπx1x
=ππsinπx1x
=πsinπxπx
θ=πx we have
limxxsin(πx)=limxπsin(πxπx)
=πlimxsin(πxπx)
=πlimθ0sinθθ
=π
The line y=π is a horizontal asymptote of y=xsin(πx)
Jeffrey Jordon

Jeffrey Jordon

Expert2022-06-28Added 2605 answers

Answer is given below (on video)

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