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

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

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limit as x approaches 0+of x^{2x+1}

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

0

Solution steps

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

Plug in the value

x = 0

= 0^{2 \cdot 0 + 1}

Simplify

= 0

x \to 2 + lim (\frac{∣ x - 2 ∣}{2 - x})

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

x \to - 3 lim (\frac{x ^{6} - 729}{x + 3})

x \to 0 lim (x^{1 - c o s (x)})

x \to 0 lim (\frac{( 2 ^{x} - 3 ^{x} )}{x})

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