Evaluate the following limits. lim_{(u,v)rightarrow(8,8)}frac{u^{1/3}-v^{1/3}}{u^{2/3}-v^{2/3}}

Chardonnay Felix 2020-11-14 Answered
Evaluate the following limits.
lim(u,v)(8,8)u1/3v1/3u2/3v2/3
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Expert Answer

insonsipthinye
Answered 2020-11-15 Author has 83 answers
Consider the provided expression,
lim(u,v)(8,8)u1/3v1/3u2/3v2/3
Evaluate the following limits.
Multiplying by the conjugate of the numerator and simplifying further,
lim(u,v)(8,8)u1/3v1/3u2/3v2/3=lim(u,v)(8,8)(u23v23u13+v13u23v23)
=lim(u,v)(8,8)(1u13+v13)
=1813+813
=14
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Jeffrey Jordon
Answered 2022-04-01 Author has 2064 answers

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