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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
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

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inkyvoydBest ResponseYou've already chosen the best response.0
Well, how do you think you should start this problem?
 one year ago

omgitsanaBest ResponseYou've already chosen the best response.0
well my main concern is idk if you can cancel the x+1 out
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.0
Of course you can't. Find the limits manually.
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.0
Or, you can use l'hopital's rule given that you have learned it.
 one year ago

lisapeajacBest ResponseYou've already chosen the best response.0
cannot cancel because it is not the exact same!!!
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.0
and, here's a hint: sin(a+b)=sin(a)cos(b)+sin(b)cos(a)
 one year ago

omgitsanaBest ResponseYou've already chosen the best response.0
oh ok so it has vertical asymp?
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.0
Find the left and right hand limits. Are they the same?
 one year ago

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