Question

3. Find the limits. i) lim_{x??} (x + ln x) / (x ln x) ii) lim_{x??} (x - 1)e^{-x^2} iii) lim_{x??/2} [x tan x - (?/2) sec x] iv) lim_{x??} (x + ln x) / (x ln x)

          3. Find the limits.
i) lim_{x??} (x + ln x) / (x ln x)
ii) lim_{x??} (x - 1)e^{-x^2}
iii) lim_{x??/2} [x tan x - (?/2) sec x]
iv) lim_{x??} (x + ln x) / (x ln x)

Added by Ian W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

08/17/2023

Step 1

Taking the derivative of the numerator and denominator with respect to $x$, we get: $\lim_{x \to 0} \frac{\ln{x} + 1}{1}$ Now, as $x \to 0$, $\ln{x} \to -\infty$. Show more…

Show all steps

Thanks for your feedback!

3. Find the limits. i) lim_{x → ∑} (x + ln x) / (x ln x) ii) lim_{x → ∑} (x - 1)e^{-x^2} iii) lim_{x → π/2} [x tan x - (π/2) sec x] iv) lim_{x → ∑} (x + ln x) / (x ln x)