## omgitsana Group Title calculus: f(x)=(sin(x+1)/(x+1). does it have a vertical asymptote or a removeable discontinuity at x=-1?? one year ago one year ago

1. inkyvoyd Group Title

Well, how do you think you should start this problem?

2. omgitsana Group Title

well my main concern is idk if you can cancel the x+1 out

3. inkyvoyd Group Title

Of course you can't. Find the limits manually.

4. inkyvoyd Group Title

Or, you can use l'hopital's rule given that you have learned it.

5. lisapeajac Group Title

cannot cancel because it is not the exact same!!!

6. inkyvoyd Group Title

and, here's a hint: sin(a+b)=sin(a)cos(b)+sin(b)cos(a)

7. omgitsana Group Title

oh ok so it has vertical asymp?

8. inkyvoyd Group Title

Find the left and right hand limits. Are they the same?

9. inkyvoyd Group Title

$\lim_{x \rightarrow -1^-}=\lim_{x \rightarrow -1^+}$ is what I'm asking here.