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

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

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limit as x approaches 0 of 2^x+x^2

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

1

Solution steps

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

Plug in the value

x = 0

= 2^{0} + 0^{2}

Simplify

= 1

x \to 0 lim (\frac{4 ( - 1 + x ) + 4}{x})

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

x \to 0 - lim (x + \frac{1}{x})

v \to 2 lim (\frac{v - 2}{v ^{2} - 2})

y \to 3 lim (9 - y^{2})

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