What is the limit as x approaches-5 of (x+5)/x ?

The limit as x approaches-5 of (x+5)/x is 0

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limit as x approaches-5 of (x+5)/x

x \to - 5 lim (\frac{x + 5}{x})

0

Solution steps

x \to - 5 lim (\frac{x + 5}{x})

Plug in the value

x = - 5

= \frac{- 5 + 5}{- 5}

Simplify

= 0

x \to 3 lim (\frac{0}{0})

x \to 0 lim (\frac{x}{x ^{2} - 7 x})

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

x \to 0 lim (2 + \frac{sin ( x )}{x})

x \to 0 lim (\frac{( x - 6 )}{x ^{2}})

What is the limit as x approaches-5 of (x+5)/x ?
The limit as x approaches-5 of (x+5)/x is 0