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

OlmekinjP

OlmekinjP

Answered question

2021-03-06

Use the method of your choice to evaluate the following limits.
lim(x,y)(2,0)1cosyxy2

Answer & Explanation

Aamina Herring

Aamina Herring

Skilled2021-03-07Added 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

Jeffrey Jordon

Jeffrey Jordon

Expert2022-04-01Added 2605 answers

Answer is given below (on video)

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