Question

step by step using L'hopital rule:
limit of [1/x+1/cos(π/2+x)] as x approaches 0

Answer 1

Do you simply want to check your answers or a tutorial on using the rule to answer this question?

Answer 2

i am stuck in, how???

Answer 3

can you show me step by step?

Answer 4

The rule is applied when the said limit becomes infinite at the limit.
For example, your equation above can be simplified to
\[\lim_{x \rightarrow 0}(\frac{ \sin x - x }{x \sin x })\] --(1)
which is \[\frac{ 0 }{ 0 }\] at the limit.
Then we apply the rule to limit (1)
Do you follow?
Rearrange the terms until 0/0 or 0/infinite pops out. then apply the rule.

Answer 5

huh..

Answer 6

then you can apply the rule...
if 0/0 pops out again, apply again.
Good luck on solving it!

Answer 7

thanks

Answer 8

you're welcome! :)