What is the limit as x approaches 0 of 1+sin(x^2) ?

The limit as x approaches 0 of 1+sin(x^2) is 1

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limit as x approaches 0 of 1+sin(x^2)

x \to 0 lim (1 + sin (x^{2}))

1

Solution steps

x \to 0 lim (1 + sin (x^{2}))

Plug in the value

x = 0

= 1 + sin (0^{2})

Simplify

1 + sin (0^{2}) : 1

= 1

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What is the limit as x approaches 0 of 1+sin(x^2) ?
The limit as x approaches 0 of 1+sin(x^2) is 1