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

Popular >

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

\int \frac{1}{1 + 25 x ^{2}} d x

\frac{\partial}{\partial z} (z (1 + e^{x + y}))

\frac{d}{d x} (3 x y^{2} + 2 y cos (x))

\int x^{2} (x^{3} - 1)^{4} d x

\frac{\partial}{\partial x} (\frac{x ^{2} y + 3 z y ^{3}}{x yz})

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