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

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

Popular >

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

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

\infty

Solution steps

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

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

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

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

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

= 1 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x \to + (- 4) lim (∣ x + 4 ∣)

y = 3 x - 4, (2, 5)

3 x \frac{d y}{d x} + y = x

\frac{\partial}{\partial x} (4 e^{x^{2} y} x y)

\int \frac{4 x ^{5} + 10 x ^{3}}{x ^{2}} d x

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