What is the limit as x approaches 0 of 2/3 x^2+2x+1 ?

The limit as x approaches 0 of 2/3 x^2+2x+1 is 1

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limit as x approaches 0 of 2/3 x^2+2x+1

x \to 0 lim (\frac{2}{3} x^{2} + 2 x + 1)

1

Solution steps

x \to 0 lim (\frac{2}{3} x^{2} + 2 x + 1)

Plug in the value

x = 0

= \frac{2}{3} \cdot 0^{2} + 2 \cdot 0 + 1

Simplify

= 1

x \to 0 + lim ((\frac{4}{x})^{5 x})

x \to 3 lim (\frac{x}{( x - 3 )})

x \to \infty lim (\frac{ln ( x )}{x ^{(\frac{1}{2})}})

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

x \to 0 lim (4 x^{3} + 3 x)

What is the limit as x approaches 0 of 2/3 x^2+2x+1 ?
The limit as x approaches 0 of 2/3 x^2+2x+1 is 1