Question

evaluate limit X tends to zero e ^ 4 x - 1 / x​

Answer 1

Answer:  1

Step-by-step explanation:

$\lim_{x \to 0} { \frac{ e ^{ 4 x} - 1} {x}}$ = 1$lim_{{x}\tends\to0}{ \frac{1+x+(x^2/2)+(x^3/6)+.....-1}{x}=\\ lim_{{x}\tends\to0}{ \frac{x+(x^2/2)+(x^3/6)+.....}{x}=lim_{{x}\tends\to0} {1+(x/2)+(x^2/6)+.....$=1