What is the limit as x approaches-3+of (4x+3)/(x+3) ?

The limit as x approaches-3+of (4x+3)/(x+3) is -infinity

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limit as x approaches-3+of (4x+3)/(x+3)

x \to - 3 + lim (\frac{4 x + 3}{x + 3})

- \infty

Solution steps

x \to - 3 + lim (\frac{4 x + 3}{x + 3})

\frac{4 x + 3}{x + 3} = (4 x + 3) \frac{1}{x + 3}

= x \to - 3 + lim ((4 x + 3) \frac{1}{x + 3})

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 - 3 + lim (4 x + 3) \cdot x \to - 3 + lim (\frac{1}{x + 3})

x \to - 3 + lim (4 x + 3) = - 9

x \to - 3 + lim (\frac{1}{x + 3}) = \infty

= (- 9) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

\frac{d y}{d x} = 2 x y^{\frac{1}{2}}

4 - x^{2}, 16 - 7 x

\int (9 - x) x d x

\frac{\partial}{\partial x} (x \cdot e^{(- y)})

\frac{x}{x - 2}

What is the limit as x approaches-3+of (4x+3)/(x+3) ?
The limit as x approaches-3+of (4x+3)/(x+3) is -infinity