Limits

Calculus Level 3

lim ⁡ x → ∞ 3 x + 1 − 5 x + 1 3 x − 5 x = ? \large \lim_{x \to \infty} \frac {3^{x+1}-5^{x+1}}{3^x-5^x} = \ ?


The answer is 5.

Muhammad Usman Ghani by Muhammad Usman Ghani , 22, Pakistan

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1 solution

Rajen Kapur
Jul 13, 2016

5 ( x + 1 ) [ ( 3 5 ) ( x + 1 ) − 1 ] 5 x [ ( 3 5 ) x − 1 ] = 5 \displaystyle \dfrac{5^{(x+1)}[(\frac {3}{5})^{(x+1)}-1]}{5^x[(\frac{3}{5})^x-1]}=5 , when a fraction raised to infinity is equated to zero both in numerator and denominator.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

But if i put 3.(3^x-5^x)-2.5^x?

Mr Yovan - 4 years, 10 months ago

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