What is the limit as x approaches 0 of sin(x+x^3) ?

The limit as x approaches 0 of sin(x+x^3) is 0

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limit as x approaches 0 of sin(x+x^3)

x \to 0 lim (sin (x + x^{3}))

0

Solution steps

x \to 0 lim (sin (x + x^{3}))

Plug in the value

x = 0

= sin (0 + 0^{3})

Simplify

sin (0 + 0^{3}) : 0

= 0

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What is the limit as x approaches 0 of sin(x+x^3) ?
The limit as x approaches 0 of sin(x+x^3) is 0