Find Infinite limit (Rational Function)underset (x->5^+)(lim)(1/x^(4/3)-1/(x-5)^(4/3))

Suman Cole 2020-11-03 Answered

Find Infinite limit (Rational Function)
 limx5(1x4/31(x5)4/3)

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Expert Answer

Cristiano Sears
Answered 2020-11-04 Author has 96 answers

Given:
limx5+(1x4/31(x5)4/3)
It is known that
limxa[f(x)+g(x)]=limxaf(x)+limxag(x)
Then above can be written as
=limx5+(1x4/3)limx5+1(x5)4/3
Plug Limits
(154/3)()(since,(x5)4/3>0)
(since,c=)
Hence,
limx5+(1x4/31(x5)4/3)=

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