edited by
6,646 views
26 votes
26 votes
$$\lim _{x\rightarrow 4}\frac{\sin(x-4)}{x-4}=\_\_\_\_\_\_\_\_\_\_\_\_$$
edited by

4 Answers

11 votes
11 votes
Indeterminate form ( 0/0 )

When applying L Hospitals rule,

Answer is 1
6 votes
6 votes

now this can be solved using the std property ..or since it is 0/0 form so we can apply L'hospital rule..

I would go with the second method ..

Limx->4 Sin(x-4)/x-4)=> differentiate both the numerator and denominator ..we get

limx->4 Cos(x-4)/1 and now put x=4 and wet .= 1 as the answer

Answer:

Related questions

31 votes
31 votes
5 answers
1
go_editor asked Sep 28, 2014
10,816 views
If $\int \limits_0^{2 \pi} |x \: \sin x| dx=k\pi$, then the value of $k$ is equal to ______.
23 votes
23 votes
4 answers
4
Sandeep Singh asked Feb 12, 2016
12,389 views
A processor can support a maximum memory of $4\;\textsf{GB}$, where the memory is word-addressable (a word consists of two bytes). The size of address bus of the processo...