What is the limit as x approaches 3+of (x+4)/(x-3) ?

The limit as x approaches 3+of (x+4)/(x-3) is infinity

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limit as x approaches 3+of (x+4)/(x-3)

x \to 3 + lim (\frac{x + 4}{x - 3})

\infty

Solution steps

x \to 3 + lim (\frac{x + 4}{x - 3})

\frac{x + 4}{x - 3} = (x + 4) \frac{1}{x - 3}

= x \to 3 + lim ((x + 4) \frac{1}{x - 3})

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 3 + lim (x + 4) \cdot x \to 3 + lim (\frac{1}{x - 3})

x \to 3 + lim (x + 4) = 7

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

= 7 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

f (x) = cot^{2} (cos (θ))

\int \frac{( 2 x - 5 ) ^{2}}{3} d x

\int_{0}^{\frac{π}{6}} 3 cos^{5} (3 x) d x

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

\int_{0}^{4} 2 x - x d x

What is the limit as x approaches 3+of (x+4)/(x-3) ?
The limit as x approaches 3+of (x+4)/(x-3) is infinity