What is the limit as x approaches 1 of x^2+2x-1 ?

The limit as x approaches 1 of x^2+2x-1 is 2

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limit as x approaches 1 of x^2+2x-1

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

2

Solution steps

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

Plug in the value

x = 1

= 1^{2} + 2 \cdot 1 - 1

Simplify

= 2

x \to 3 lim (2 x 12 - x)

x \to 3 lim (7 x)

x \to 0 lim (- 43 x^{2} - 4 x + 8)

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

x \to 0 + lim (\frac{x + ln ( x )}{x})

What is the limit as x approaches 1 of x^2+2x-1 ?
The limit as x approaches 1 of x^2+2x-1 is 2