What is the limit as x approaches 0 of (1+x^2)^3 ?

The limit as x approaches 0 of (1+x^2)^3 is 1

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limit as x approaches 0 of (1+x^2)^3

x \to 0 lim ((1 + x^{2})^{3})

1

Solution steps

x \to 0 lim ((1 + x^{2})^{3})

Plug in the value

x = 0

= (1 + 0^{2})^{3}

Simplify

= 1

x \to 1 lim (\frac{1}{x} + ln (x))

x \to 1 lim (- x^{2} + 4 x - 5)

x \to 3 lim (\frac{3 - x}{2 ^{x} - 8})

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

t \to \frac{π}{4} lim (\frac{sin ( t )}{t})

What is the limit as x approaches 0 of (1+x^2)^3 ?
The limit as x approaches 0 of (1+x^2)^3 is 1