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dgamma3
Group Title
How would you solve the following limit:
limit (x > 0+) (x11)/sin(x)
 one year ago
 one year ago
dgamma3 Group Title
How would you solve the following limit: limit (x > 0+) (x11)/sin(x)
 one year ago
 one year ago

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dgamma3 Group TitleBest ResponseYou've already chosen the best response.0
you can do it manually, and figure out its negative infinity. but is there any algebraic way.
 one year ago

dgamma3 Group TitleBest ResponseYou've already chosen the best response.0
\[\lim_{x \rightarrow 0+} (x11)/\sin(x)\]
 one year ago

nitz Group TitleBest ResponseYou've already chosen the best response.1
\[\lim_{x \rightarrow 0}(sinx/x)=1\]
 one year ago

kirbykirby Group TitleBest ResponseYou've already chosen the best response.1
\[You know \lim_{x \rightarrow 0+} \frac{\sin x}{x}=1 \]
 one year ago

kirbykirby Group TitleBest ResponseYou've already chosen the best response.1
so: do the same trick I told you before: Divide the top and bottom by x
 one year ago

nitz Group TitleBest ResponseYou've already chosen the best response.1
and \[\lim_{x \rightarrow 0}(11/sinx)\rightarrow \infty \]
 one year ago

kirbykirby Group TitleBest ResponseYou've already chosen the best response.1
\[\lim_{x \rightarrow 0+} \frac{\frac{11x}{x}}{\frac{\sin x}{x}} = \lim_{x \rightarrow 0+} \frac{11/x1}{\frac{\sin x}{x}}=\]\[\frac{\infty1}{1}=\infty\]
 one year ago
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