What is the limit as x approaches 0 of x^2[ 1/(x^2)] ?

The limit as x approaches 0 of x^2[ 1/(x^2)] is 1

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limit as x approaches 0 of x^2[ 1/(x^2)]

x \to 0 lim (x^{2} [\frac{1}{x ^{2}}])

1

Solution steps

x \to 0 lim (x^{2} [\frac{1}{x ^{2}}])

x^{2} [\frac{1}{x ^{2}}] = 1

= x \to 0 lim (1)

x \to a lim c = c

= 1

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

x \to \infty lim (e^{x} x^{2})

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

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

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

What is the limit as x approaches 0 of x^2[ 1/(x^2)] ?
The limit as x approaches 0 of x^2[ 1/(x^2)] is 1