## Related questions with answers

Question

Find the limit by interpreting the expression as an appropriate derivative. (a)

$\lim _ { x \rightarrow 0 } \frac { \ln ( 1 + 3 x ) } { x }$

, (b)

$\lim _ { x \rightarrow 0 } \frac { \ln ( 1 - 5 x ) } { x }$

Solution

VerifiedAnswered 10 months ago

Answered 10 months ago

Step 1

1 of 7In this task, the goal is to interpret the given expression

$\lim_{ x\rightarrow0}\frac{\ln (1+3x)}{x}$

as derivative.

*How the derivative of a function is defined with the help of limit of the function?*

*What is the derivative of a function of the form $f(x)=\ln(x)$?*

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