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

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

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

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

5

Solution steps

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

Plug in the value

x = 2

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

Simplify

(2 \cdot 2 - 1)^{2} - 2^{2} : 5

= 5

\frac{d}{d x} (ln (e^{9 x}))

x e^{x^{2}} d x + (y^{5} - 1) d y = 0, y (0) = 0

\frac{d ^{2}}{d x ^{2}} (2 sec (x))

\frac{\partial}{\partial x} (A + B (x^{2} + y^{2}))

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