What is the limit as x approaches 0-of x^2e^{1/x} ?

The limit as x approaches 0-of x^2e^{1/x} is 0

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limit as x approaches 0-of x^2e^{1/x}

x \to 0 - lim (x^{2} e^{\frac{1}{x}})

0

Solution steps

x \to 0 - lim (x^{2} e^{\frac{1}{x}})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 - lim (x^{2}) \cdot x \to 0 - lim (e^{\frac{1}{x}})

x \to 0 - lim (x^{2}) = 0

x \to 0 - lim (e^{\frac{1}{x}}) = 0

= 0 \cdot 0

Simplify

= 0

40 t + t^{2} - \frac{1}{12} t^{3}

\int \frac{10}{cos ( x ) - 1} d x

\frac{d y}{d x} = y x

f (t) = 7 sin (\frac{3 t}{2})

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

What is the limit as x approaches 0-of x^2e^{1/x} ?
The limit as x approaches 0-of x^2e^{1/x} is 0