Question

Evaluate
$\underset{x\to 0}{lim}\frac{\log \left(1+\alpha x\right)}{x}$

• A. $2a$
• B. $a$
• C. $-a$
• D. None of these

Answer 1

Answer: (B)

$a$

${lim}_{x\to 0}\frac{\log (1+ax)}{x}={lim}_{x\to 0}a\frac{\log (1+ax)}{ax}$

$=a{lim}_{x\to 0}\frac{\log (1+ax)}{ax}=a$