Evaluate the following limits. lim_{xrightarrow0}frac{sin3x}{tan4x}

Ramsey

Ramsey

Answered question

2020-12-01

Evaluate the following limits.
limx0sin3xtan4x

Answer & Explanation

Luvottoq

Luvottoq

Skilled2020-12-02Added 95 answers

Evaluate the following limits.
limx0sin3xtan4x
To evaluate: limx0sin3xtan4x
Solution:
limx0sin3xtan4x
On simplifying further, we get:
limx0sin3xtan4x=limx0sin(3x)(3x)×(3x)tan(4x)(4x)×(4x)
=limx0sin(3x)3xtan(4x)(4x)×3x4x
limx011×34
=11×34
=34
Result: limx0sin3xtan4x=34
Jeffrey Jordon

Jeffrey Jordon

Expert2022-04-01Added 2605 answers

Answer is given below (on video)

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