Question

Determine the limit (if it exists).
lim sin(x)/5x as x-->0

Answer 1

Well, there is an identity:

\[\lim_{x \rightarrow 0}\frac{ sinx }{ x }=1\]As long as the angle of sin and the variable in the denominator match, the whole term is 1. So you have sin(x) and a 5x in bottom. So you need to go and turn that 5x into just a regular x in a mathematically legitimate way. Once you can do that you can find your answer. Let meknow if youre unsure how.

Answer 2

I am unsure how yo do that @Psymon

Answer 3

Well, the usual method is to multiply top and bottom by the same thing. So in this case we would do this:



Kinda see what I did?