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

The limit as x approaches 2 of (2x)^2-1 is 15

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

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

15

Solution steps

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

Plug in the value

x = 2

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

Simplify

= 15

x \to 0 lim (\frac{x ^{2} - 5 x + 4}{x})

x \to 25 lim (x^{\frac{3}{2}})

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

x \to 0 - lim (\frac{1}{x ^{5}})

x \to 0 - lim (4 (\frac{1}{x} - cot (x)))

What is the limit as x approaches 2 of (2x)^2-1 ?
The limit as x approaches 2 of (2x)^2-1 is 15