Question

write the value of lim h→0 (e^3h-1/h)

Answer 1

Answer:

The answer is 3

Step-by-step explanation:

   $\displaystyle \lim_{h\to 0}\frac{e^{3h}-1}{h}$

$=\displaystyle \lim_{h\to 0}\frac{e^{3h}-1}{3h}\times 3$

$=3\times \displaystyle \lim_{h\to 0}\frac{e^{3h}-1}{3h}$

$=3\times 1=3$, since $\displaystyle \lim_{x\to 0}\frac{e^x-1}{x}=1}$