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

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

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

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

1

Solution steps

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

Plug in the value

x = 0

= sin (0^{2}) + 1

Simplify

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

= 1

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