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

The limit as x approaches 2 of x^2+x+1 is 7

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

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

7

Solution steps

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

Plug in the value

x = 2

= 2^{2} + 2 + 1

Simplify

= 7

x \to 3 + lim ((3 - x) ln (x - 3))

x \to \infty lim (- x + 1)

x \to 0 lim (1 - ln (x))

x \to 0 lim (\frac{tan ( k ) x}{x})

x \to 0 lim (\frac{5}{x} + \frac{5}{x ^{2} - x})

What is the limit as x approaches 2 of x^2+x+1 ?
The limit as x approaches 2 of x^2+x+1 is 7