What is the limit as x approaches 7+of (x+1)/(x-7) ?

The limit as x approaches 7+of (x+1)/(x-7) is infinity

Popular >

limit as x approaches 7+of (x+1)/(x-7)

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

\infty

Solution steps

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

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

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

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

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

= 8 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

s (t) = 4 e^{- 2 t} sin (2 π t)

\int \frac{3 x + 7}{3 x + 8} d x

y^{^{'}} = \frac{( 6 x ^{3} + y ^{3} )}{x y ^{2}}

y^{^{'}} = 1 - 100 (y - t)

\int_{0}^{\infty} \frac{1}{x ^{2}} d x

What is the limit as x approaches 7+of (x+1)/(x-7) ?
The limit as x approaches 7+of (x+1)/(x-7) is infinity