Question

Let $f(x) = \frac{\ln x}{1 + (\ln x)^2}$ for $x$ in $(0, \infty)$. Find a) $\lim_{x \to 0^+} f(x) = DNE$ b) $\lim_{x \to \infty} f(x) = 0$ Note: You can earn partial credit on this problem.

          Let $f(x) = \frac{\ln x}{1 + (\ln x)^2}$ for $x$ in $(0, \infty)$. Find
a) $\lim_{x \to 0^+} f(x) = DNE$
b) $\lim_{x \to \infty} f(x) = 0$
Note: You can earn partial credit on this problem.

Let f(x) = (ln x)/(1 + (ln x)^2) for x in (0, ∞). Find
a) limx → 0^+ f(x) = DNE
b) limx →∞ f(x) = 0
Note: You can earn partial credit on this problem.

Added by Brandon R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Linh Vu

05/21/2020

Step 1

We have: lim(x→0+) ln(x) This limit does not exist because ln(x) is undefined for x ≤ 0. Show more…

Show all steps

Thanks for your feedback!

In x 1+ (In x)² a) limx→0+ f(x) = DNE b) limx→∞ f(x) = 0 Let f(x) = for x in (0, ∞). Find Note: You can earn partial credit on this problem. 1nx forin(0o.Find alimx-o+f(x= DNE b)limx-f(x= Note: You can earn partial credit on this problem