What is the limit as x approaches+0 of (x+1)^2-x^2 ?

The limit as x approaches+0 of (x+1)^2-x^2 is 1

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limit as x approaches+0 of (x+1)^2-x^2

x \to + 0 lim ((x + 1)^{2} - x^{2})

1

Solution steps

x \to 0 lim ((x + 1)^{2} - x^{2})

Plug in the value

x = 0

= (0 + 1)^{2} - 0^{2}

Simplify

= 1

x \to 3 - lim (\frac{7 - x - 5}{x - 3})

\frac{d}{d x} ((\frac{x + 3}{x - 1})^{2})

\frac{d}{d x} (\frac{1}{x ^{2} + 2 x + 2})

y^{^{''}} - 12 y^{^{'}} + 61 y = 0

\frac{d y}{d x} = \frac{y}{x} ln (y)

What is the limit as x approaches+0 of (x+1)^2-x^2 ?
The limit as x approaches+0 of (x+1)^2-x^2 is 1