Question

Use analytical methods to evaluate the following limit.\\ $\lim_{x \to \infty} \left(\frac{1}{9x}\right)^{\frac{3}{x}}$\\ $\lim_{x \to \infty} \left(\frac{1}{9x}\right)^{\frac{3}{x}} = \boxed{}$ (Simplify your answer.)

          Use analytical methods to evaluate the following limit.\\
$\lim_{x \to \infty} \left(\frac{1}{9x}\right)^{\frac{3}{x}}$\\
$\lim_{x \to \infty} \left(\frac{1}{9x}\right)^{\frac{3}{x}} = \boxed{}$ (Simplify your answer.)

Use analytical methods to evaluate the following limit.

limx →∞((1)/(9x))^(3)/(x)

limx →∞((1)/(9x))^(3)/(x) = (Simplify your answer.)

Added by Miriam M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

03/16/2023

Step 1

Step 1: Rewrite the limit expression as e^(lim(x->∞) (3/x) ln(1/(9x))) Show more…

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Use analytical methods to evaluate the following limit. lim_(x->infty )((1)/(9x))^((3)/(x)) lim_(x->infty )((1)/(9x))^((3)/(x))=, (Simplify your answer.) Use analytical methods to evaluate the following limit 3 lim lim 9x =(Simplify your answer.)