If a, b, c, d are +ve, then $\underset{x→∞}{\lim}(1+\frac{1}{a+bx})^{c+dx}$ is:
Answer & explanation
Correct answer: option 1
$\underset{t→0}{\lim}(1+\frac{1}{b+at})^{\frac{at+b}{4}×\frac{t}{at+b}×(c×\frac{d}{t})}=e^{\underset{t→0}{\lim}\frac{t}{at+b}×\frac{ct+d}{t}}=e^{d/b}$