csat-suneung 2024 Q23_calculus

csat-suneung · South-Korea · csat__math 2 marks Differentiating Transcendental Functions Limit involving transcendental functions
Find the value of $\lim_{x \rightarrow 0} \frac{\ln(1+3x)}{\ln(1+5x)}$. [2 points]
(1) $\frac{1}{5}$
(2) $\frac{2}{5}$
(3) $\frac{3}{5}$
(4) $\frac{4}{5}$
(5) 1
Find the value of $\lim_{x \rightarrow 0} \frac{\ln(1+3x)}{\ln(1+5x)}$. [2 points]\\
(1) $\frac{1}{5}$\\
(2) $\frac{2}{5}$\\
(3) $\frac{3}{5}$\\
(4) $\frac{4}{5}$\\
(5) 1