Find the limits. lim_{xrightarrow-infty}frac{2^x+4^x}{5^x-2^x}

naivlingr 2020-12-21 Answered
Find the limits.
limx2x+4x5x2x
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Expert Answer

krolaniaN
Answered 2020-12-22 Author has 86 answers
Consider the limit
limx2x+4x5x2x
Solve:
limx2x+4x5x2x
Take 2x common from numerator and denominator
=limx2x(1+4x2x)2x(5x2x1)
=limx2x(1+(42)x)2x((52)x1)
=limx(1+2x)((2.5)x1)
=limx(1+2x)limx((2.5)x1)
=(1+2)(2.51)
=(1+0)(01)
=1
Answer: -1
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Jeffrey Jordon
Answered 2022-04-01 Author has 2087 answers

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