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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

= 0^{2} + sin^{2} (0)

Simplify

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

= 0

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