Question

Use l'Hôpital's rule to find the limit. Use -? or ? when appropriate. \(\lim_{x \to 0} \frac{e^{4x} - 1}{3x}\) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. \(\lim_{x \to 0} \frac{e^{4x} - 1}{3x} = \square\) A. (Type an exact answer in simplified form.) B. The limit does not exist.

          Use l'Hôpital's rule to find the limit. Use -? or ? when appropriate.
\(\lim_{x \to 0} \frac{e^{4x} - 1}{3x}\)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
\(\lim_{x \to 0} \frac{e^{4x} - 1}{3x} = \square\)
A. (Type an exact answer in simplified form.)
B. The limit does not exist.

Use l'Hôpital's rule to find the limit. Use -? or ? when appropriate.
limx → 0(e^4x - 1)/(3x)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
limx → 0(e^4x - 1)/(3x) = □
A. (Type an exact answer in simplified form.)
B. The limit does not exist.

Added by Cody L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

09/23/2023

Step 1

The derivative of e^(4x) is 4e^(4x) and the derivative of -1 is 0. The derivative of 3x is 3. Show more…

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Use l'Hôpital's rule to find the limit. Use -infty or infty when appropriate. lim_(x->0)(e^(4x)-1)/(3x) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim_(x->0)(e^(4x)-1)/(3x)= (Type an exact answer in simplified form.) B. The limit does not exist. Use l'Hopital's rule to find the limit.Use -co or co when appropriate e4x-1 lim X-0 3x Select the correct choice below and, if necessary, fll in the answer box to complete your choice. 4X lim OA.x-03x (Type an exact answer in simplified form.) O B.The limit does not exist.