Find the limits: lim_{xrightarrowinfty}(sqrt{x+9}-sqrt{x+4})

Isa Trevino 2020-12-22 Answered
Find the limits:
limx(x+9x+4)
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Expert Answer

krolaniaN
Answered 2020-12-23 Author has 86 answers
Given:
The limits is limx(x+9x+4)
Apply the limits.
limx(x+9x+4)=
This is an indeterminate for so multiply and divide the function with its conjugates and then apply the limits.
limx[(x+9x+41)(x+9+x+4x+9+x+4)]=limx((x+9)2(x+4)2x+9+x+4)
=limx((x+9)(x+4)x+9+x+4)
=limx(5x+9+x+4)
=(5)
=0
Result: limx(x+9x+4)=0
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Jeffrey Jordon
Answered 2022-04-01 Author has 2064 answers

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