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

The limit as x approaches+0+of x^{2/x} is 0

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limit as x approaches+0+of x^{2/x}

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

0

Solution steps

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

Apply exponent rules

= x \to 0 + lim (e^{\frac{2}{x} l n (x)})

Apply the Limit Chain Rule:

0

= 0

y^{^{''}} + 15 y^{^{'}} + 54 y = 0

f (x) = (x + 2)^{\frac{2}{3}}

\int \frac{1}{2} (1 + cos (2 x)) d x

x \to 0 + lim (\frac{sin ( 2 π )}{x})

y^{^{'}} = - 4 y, y (0) = 8

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