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

The limit as x approaches 1 of (2x+1)^2 is 9

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

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

9

Solution steps

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

Plug in the value

x = 1

= (2 \cdot 1 + 1)^{2}

Simplify

= 9

x \to 2 lim (4 x + 1)

x \to - 3 lim (x + 5)

x \to \infty lim (\frac{4}{3 x})

x \to \infty lim (∣ x ∣^{x})

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

What is the limit as x approaches 1 of (2x+1)^2 ?
The limit as x approaches 1 of (2x+1)^2 is 9