What is the limit as x approaches 2+of ((x+3))/(x-2) ?

The limit as x approaches 2+of ((x+3))/(x-2) is infinity

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limit as x approaches 2+of ((x+3))/(x-2)

x \to 2 + lim (\frac{( x + 3 )}{x - 2})

\infty

Solution steps

x \to 2 + lim (\frac{x + 3}{x - 2})

\frac{x + 3}{x - 2} = (x + 3) \frac{1}{x - 2}

= x \to 2 + lim ((x + 3) \frac{1}{x - 2})

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 2 + lim (x + 3) \cdot x \to 2 + lim (\frac{1}{x - 2})

x \to 2 + lim (x + 3) = 5

x \to 2 + lim (\frac{1}{x - 2}) = \infty

= 5 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\frac{\partial}{\partial x} (\frac{( y - x )}{y})

\frac{\partial}{\partial x} (\frac{1}{4 π t} e^{\frac{( - x ^{2} )}{4 t}})

ln (5 + e^{18 x})

\int 5 x + \frac{1}{5 x} d x

\int x 64 x^{4} + 81 d x

What is the limit as x approaches 2+of ((x+3))/(x-2) ?
The limit as x approaches 2+of ((x+3))/(x-2) is infinity