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

The limit as x approaches 2 of x^2+x-5 is 1

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limit as x approaches 2 of x^2+x-5

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

1

Solution steps

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

Plug in the value

x = 2

= 2^{2} + 2 - 5

Simplify

= 1

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

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

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

x \to \infty lim ((- 2)^{x})

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

What is the limit as x approaches 2 of x^2+x-5 ?
The limit as x approaches 2 of x^2+x-5 is 1