What is the limit as x approaches 1+of (5x+6)/(x-1) ?

The limit as x approaches 1+of (5x+6)/(x-1) is infinity

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limit as x approaches 1+of (5x+6)/(x-1)

x \to 1 + lim (\frac{5 x + 6}{x - 1})

\infty

Solution steps

x \to 1 + lim (\frac{5 x + 6}{x - 1})

\frac{5 x + 6}{x - 1} = (5 x + 6) \frac{1}{x - 1}

= x \to 1 + lim ((5 x + 6) \frac{1}{x - 1})

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 1 + lim (5 x + 6) \cdot x \to 1 + lim (\frac{1}{x - 1})

x \to 1 + lim (5 x + 6) = 11

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

= 11 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x = - 5, x = 1, y = 7 x, y = x^{2} - 8

t^{3} + 1 t, at t = 1

\frac{\partial}{\partial u} (3 y uxu v^{3} - 2)

\int \frac{1}{100 - 2 x} d x

\frac{\partial}{\partial x} ((3 x^{2} + 4)^{3})

What is the limit as x approaches 1+of (5x+6)/(x-1) ?
The limit as x approaches 1+of (5x+6)/(x-1) is infinity