What is the limit as x approaches 7-of-2/(sqrt(7-x)) ?

The limit as x approaches 7-of-2/(sqrt(7-x)) is -infinity

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limit as x approaches 7-of-2/(sqrt(7-x))

x \to 7 - lim (- \frac{2}{7 - x})

- \infty

Solution steps

x \to 7 - lim (- \frac{2}{7 - x})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= - 2 \cdot x \to 7 - lim (\frac{1}{7 - x})

For

x

approaching

7

from the left

, x < 7 \Rightarrow 7 - x > 0

The denominator is a positive quantity approaching 0 from the right

= - 2 \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

n = 3 \sum \infty \frac{n ^{2}}{e ^{n}}

0.03 x^{2} - 4 x + 3 x^{0.8} - 5000

\int - \frac{t}{1 + t ^{2}} d t

f (x) = 14 cos (x), at x = 7

y^{^{'}} + ln (x) = \frac{y}{x}

What is the limit as x approaches 7-of-2/(sqrt(7-x)) ?
The limit as x approaches 7-of-2/(sqrt(7-x)) is -infinity