Find the limit as x-->0 for y = (e^x- 1)/[sin(nx)]
Find the limit as x-> 0 for y = (e^x- 1)/[sin(nx)]
a. Using L’Hopital’s rule
b. Using the series approximation of e^u = 1 + u and sin(u) = u for u << 1
Jayellis00
60
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
1 Attachment
Aman R
649
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 655 views
- $15.00
Related Questions
- Calculus Question
- Basic calc question
- In what direction the function $f(x,y)=e^{x-y}+\sin (x+y^2)$ grows fastest at point $(0,0)$?
- Calculus 1
- Epsilon delta 2
- Vector field
- Recursive square root sequence
- Prove that $\int_{-\infty}^{\infty}\frac{\cos ax}{x^4+1}dx=\frac{\pi}{2}e^{-\frac{a}{\sqrt{2}}}(\cos \frac{a}{\sqrt{2}}+\sin \frac{a}{\sqrt{2}} )$