What is the limit as x approaches 7-of 1/(x-7) ?

The limit as x approaches 7-of 1/(x-7) is -infinity

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limit as x approaches 7-of 1/(x-7)

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

- \infty

Solution steps

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

For

x

approaching

7

from the left

, x < 7 \Rightarrow x - 7 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

x^{2} + 6

arcsin (\frac{x}{7})

y^{^{'}} = \frac{x ^{2} + 2 \cdot y ^{2}}{x \cdot y}

\frac{d}{d x} (10 x sin (x))

9 x^{2} y^{2} + x^{\frac{3}{2}} y^{^{'}} = y^{2}

What is the limit as x approaches 7-of 1/(x-7) ?
The limit as x approaches 7-of 1/(x-7) is -infinity