What is the limit as x approaches-3 of (3-|x|)/(3+x) ?

The limit as x approaches-3 of (3-|x|)/(3+x) is 1

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limit as x approaches-3 of (3-|x|)/(3+x)

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

1

Solution steps

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

x

is negative when

x \to - 3

. Therefore

∣ x ∣ = - x

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

Simplify

= x \to - 3 lim (1)

x \to a lim c = c

= 1

y^{^{''}} + 6 y^{^{'}} + 34 y = 25 e^{- 3 x}

\frac{d}{d x} (4 x - 5 x^{\frac{5}{6}})

f (x) = x cos (x) + 2 tan (x)

\int coth (\frac{x}{3}) d x

\frac{d}{d x} (a \cdot e^{x})

What is the limit as x approaches-3 of (3-|x|)/(3+x) ?
The limit as x approaches-3 of (3-|x|)/(3+x) is 1