SOLUTION: Limit x approaches 0, x^3 cot x^2

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Question 842857: Limit x approaches 0, x^3 cot x^2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use lim%28x-%3E0%2Csin%28x%29%2Fx%29=1, so then lim%28x-%3E0%2Cx%2Fsin%28x%29%29=1
and
lim%28x-%3E0%2C%28x%5E2%2Fsin%28x%5E2%29%29%29=1 and
lim%28x-%3E0%2C%28x%5E2%2Fsin%28x%5E2%29%29%2Acos%28x%5E2%29%29=1 since lim%28x-%3E0%2Ccos%28x%5E2%29%29=1
So then
lim%28x-%3E0%2C%28x%5E2%2Acot%28x%5E2%29%29%29=1
and then

highlight_green%28lim%28x-%3E0%2C%28x%5E3%2Acot%28x%5E2%29%29%29=0%29