\lim_{n\to\infty} \frac{2^\n - 5^\n}{3^\n+5^\n} =

TS ICET 23 May 2018 Shift 2 Paper

Question : 134 of 200

Marks: +1, -0

\lim↙{n→∞} {2^\n - 5^\n}/{3^\n+5^\n}

Solution:

When

n → ∞,({2}/{5})^{ n } → 0

\lim ↙{n → ∞} \;{2^{n}-5^{n}}/{2^{n}+5^{n}}=\lim ↙{n → ∞} \;{({2}/{5})^{n}-1}/{(\;{2}/{5})^{n}+1}

\;{0-1}/{0+1}=-1

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