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

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

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

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

1

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

1

= 1

x \to 3 lim (\frac{( x + 2 )}{x + 3})

e^{2 x}, x = 0

x \to 2 lim (- 4 x^{2} - 3 x + 6)

\int 6 t d t

\frac{\partial}{\partial y} (5 y - 2 x)

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