Evaluate the following limits. lim_{xrightarrow0}frac{tan5x}{x}

Wierzycaz

Wierzycaz

Answered question

2021-02-22

Evaluate the following limits.
limx0tan5xx

Answer & Explanation

Nicole Conner

Nicole Conner

Skilled2021-02-23Added 97 answers

Given,
limx0tan5xx
On simplification, we get
limx0tan5xx=limx05tan5x5x
=5limx0tan5x5x
=5lim5x0tan5x5x  [As x0,5x0]
=5(1)  [limθ0tanθθ=1]
=5
Jeffrey Jordon

Jeffrey Jordon

Expert2022-04-01Added 2605 answers

Answer is given below (on video)

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