What is the limit as x approaches 2 of x^2+2x-3 ?

The limit as x approaches 2 of x^2+2x-3 is 5

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limit as x approaches 2 of x^2+2x-3

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

5

Solution steps

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

Plug in the value

x = 2

= 2^{2} + 2 \cdot 2 - 3

Simplify

= 5

x \to 0 lim (\frac{7 ^{x} - 6 ^{x}}{x})

x \to 0 + lim (\frac{1}{x} - \frac{1}{1 - e ^{x}})

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

x \to - \infty lim (- 3 x^{5} + 2 x - 4)

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

What is the limit as x approaches 2 of x^2+2x-3 ?
The limit as x approaches 2 of x^2+2x-3 is 5