What is the limit as x approaches 0 of ln(1+sin(x)) ?

The limit as x approaches 0 of ln(1+sin(x)) is 0

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limit as x approaches 0 of ln(1+sin(x))

x \to 0 lim (ln (1 + sin (x)))

0

Solution steps

x \to 0 lim (ln (1 + sin (x)))

Plug in the value

x = 0

= ln (1 + sin (0))

Simplify

ln (1 + sin (0)) : 0

= 0

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What is the limit as x approaches 0 of ln(1+sin(x)) ?
The limit as x approaches 0 of ln(1+sin(x)) is 0