Question

$\lim_{x\to0}\dfrac{ln(1+(ln5)x)}{5^{x}}-1$

• A. $1$
• B. $ln 5$
• C. $-1$
• D. $5$
• E. $\dfrac{1}{5}$

Answer 1

Answer: (C)

$-1$

Answer 2

$\lim_{x\to0}\dfrac{ln(1+(ln5)x)}{5^{x}}-1$

Substituting $x=0$ , we get ,

=$$\dfrac{1+(ln5).0}{5^{0}}-1

$=0-1$

$=-1$ (Ans)