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anonymous
 3 years ago
calculus: f(x)=(sin(x+1)/(x+1). does it have a vertical asymptote or a removeable discontinuity at x=1??
anonymous
 3 years ago
calculus: f(x)=(sin(x+1)/(x+1). does it have a vertical asymptote or a removeable discontinuity at x=1??

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inkyvoyd
 3 years ago
Best ResponseYou've already chosen the best response.0Well, how do you think you should start this problem?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0well my main concern is idk if you can cancel the x+1 out

inkyvoyd
 3 years ago
Best ResponseYou've already chosen the best response.0Of course you can't. Find the limits manually.

inkyvoyd
 3 years ago
Best ResponseYou've already chosen the best response.0Or, you can use l'hopital's rule given that you have learned it.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0cannot cancel because it is not the exact same!!!

inkyvoyd
 3 years ago
Best ResponseYou've already chosen the best response.0and, here's a hint: sin(a+b)=sin(a)cos(b)+sin(b)cos(a)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh ok so it has vertical asymp?

inkyvoyd
 3 years ago
Best ResponseYou've already chosen the best response.0Find the left and right hand limits. Are they the same?

inkyvoyd
 3 years ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow 1^}=\lim_{x \rightarrow 1^+}\] is what I'm asking here.
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