What is the limit as x approaches-2+of (2x-1)/(x+2) ?

The limit as x approaches-2+of (2x-1)/(x+2) is -infinity

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limit as x approaches-2+of (2x-1)/(x+2)

x \to - 2 + lim (\frac{2 x - 1}{x + 2})

- \infty

Solution steps

x \to - 2 + lim (\frac{2 x - 1}{x + 2})

\frac{2 x - 1}{x + 2} = (2 x - 1) \frac{1}{x + 2}

= x \to - 2 + lim ((2 x - 1) \frac{1}{x + 2})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to - 2 + lim (2 x - 1) \cdot x \to - 2 + lim (\frac{1}{x + 2})

x \to - 2 + lim (2 x - 1) = - 5

x \to - 2 + lim (\frac{1}{x + 2}) = \infty

= (- 5) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

y^{^{''}} + 4 y = sin^{2} (x)

\int 3 tan (4 x) sec^{2} (4 x) d x

y^{^{''}} - y^{^{'}} - 6 y = 0, y (0) = 2, y^{^{'}} (0) = - 1

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

\frac{d}{d x} (20 + 0.6 x)

What is the limit as x approaches-2+of (2x-1)/(x+2) ?
The limit as x approaches-2+of (2x-1)/(x+2) is -infinity