What is the limit as x approaches-7+of (x+8)/(x+7) ?

The limit as x approaches-7+of (x+8)/(x+7) is infinity

limit as x approaches-7+of (x+8)/(x+7)

x \to - 7 + lim (\frac{x + 8}{x + 7})

\infty

Solution steps

x \to - 7 + lim (\frac{x + 8}{x + 7})

\frac{x + 8}{x + 7} = (x + 8) \frac{1}{x + 7}

= x \to - 7 + lim ((x + 8) \frac{1}{x + 7})

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 - 7 + lim (x + 8) \cdot x \to - 7 + lim (\frac{1}{x + 7})

x \to - 7 + lim (x + 8) = 1

x \to - 7 + lim (\frac{1}{x + 7}) = \infty

= 1 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

im pl i c i t x^{8} + y^{7} = 9

y^{^{'}} + 3 x y^{3} = 0

t an g e n t f (x) = \frac{x + 3}{x - 3}

\int_{- 1}^{2} 3 x 4 x^{2} - 2 d x

x \to 0 - lim (\frac{1}{e ^{x} - 1})

What is the limit as x approaches-7+of (x+8)/(x+7) ?
The limit as x approaches-7+of (x+8)/(x+7) is infinity