Use the method of your choice to evaluate the following limits. lim_{(x,y)rightarrow(2,0)}frac{1-cos y}{xy^2}

OlmekinjP 2021-03-06 Answered
Use the method of your choice to evaluate the following limits.
lim(x,y)(2,0)1cosyxy2
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Expert Answer

Aamina Herring
Answered 2021-03-07 Author has 85 answers

Given:
lim(x,y)(2,0)1cosyxy2
we will choose y=mx when y0 then x0..
lim(x,y)(2,0)1cosyxy2
=limx01cos(mx)x(mx)2
=limx0msinmx3m2x2
=limx0mcosmx6mx
=limx0msinmx6
=0

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Jeffrey Jordon
Answered 2022-04-01 Author has 2064 answers

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