What is the limit as x approaches 0 of (x(x))/(x+x) ?

The limit as x approaches 0 of (x(x))/(x+x) is 0

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limit as x approaches 0 of (x(x))/(x+x)

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

0

Solution steps

x \to 0 lim (\frac{xx}{x + x})

Simplify

\frac{xx}{x + x} : \frac{x}{2}

= x \to 0 lim (\frac{x}{2})

Plug in the value

x = 0

= \frac{0}{2}

Apply rule

\frac{0}{a} = 0, a \neq = 0

= 0

f (x) = (3 x + 7)^{2}

\frac{d}{d x} f (x) = (5 x - 5 x^{3}) (7 + x)

x \frac{d y}{d x} + y = \frac{1}{y ^{2}}

\frac{d}{d x} (30 - 80 e^{- 0.8 x})

What is the limit as x approaches 0 of (x(x))/(x+x) ?
The limit as x approaches 0 of (x(x))/(x+x) is 0