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

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

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

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

0

Solution steps

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

Plug in the value

x = 1

= \frac{1 - 1}{1 ^{2} + 1}

Simplify

= 0

t \to 1 lim (\frac{t - 1}{t ^{3} - 1})

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

x \to π lim (5 sin (x))

x \to 0 lim (\frac{1}{x ln ( x )})

x \to \frac{π}{2} lim (sin (3 x))

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