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

Ramsey 2020-12-01 Answered
Evaluate the following limits.
limx0sin3xtan4x
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Luvottoq
Answered 2020-12-02 Author has 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
Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2022-04-01 Author has 2047 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more