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

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

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

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

- 1

Solution steps

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

x

is negative when

x \to - 1

. Therefore

∣ x ∣ = - x

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

\frac{- x - 1}{x + 1} = - 1

= x \to - 1 lim (- 1)

x \to a lim c = c

= - 1

h \to 0 lim (\frac{7 ( a + h ) ^{2} - 7 a ^{2}}{h})

f (x) = \frac{x ^{2}}{x ^{2} - 1}

\int \frac{1}{sin ( 5 x ) cos ( 5 x )} d x

\int 8 e^{- t} d t

- \frac{x ^{2}}{20} + 230 x - 74000

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