What is the limit as x approaches-7 of (7-|x|)/(7+x) ?

The limit as x approaches-7 of (7-|x|)/(7+x) is 1

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limit as x approaches-7 of (7-|x|)/(7+x)

x \to - 7 lim (\frac{7 - ∣ x ∣}{7 + x})

1

Solution steps

x \to - 7 lim (\frac{7 - ∣ x ∣}{7 + x})

x

is negative when

x \to - 7

. Therefore

∣ x ∣ = - x

= x \to - 7 lim (\frac{7 - ( - x )}{7 + x})

Simplify

= x \to - 7 lim (1)

x \to a lim c = c

= 1

\int_{1}^{5} \frac{ln ( y )}{x y} d y

(e^{- 4 x})^{^{'}}

\int 30 x^{2} d x

x \to 9 lim (x - 9)

x \to + 8 lim (x^{(\frac{2}{3})})

What is the limit as x approaches-7 of (7-|x|)/(7+x) ?
The limit as x approaches-7 of (7-|x|)/(7+x) is 1