What is the limit as x approaches 7 of (x^3-4x^2-19x-14)/(x^2-8x-7) ?

The limit as x approaches 7 of (x^3-4x^2-19x-14)/(x^2-8x-7) is 0

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limit as x approaches 7 of (x^3-4x^2-19x-14)/(x^2-8x-7)

x \to 7 lim (\frac{x ^{3} - 4 x ^{2} - 19 x - 14}{x ^{2} - 8 x - 7})

0

Solution steps

x \to 7 lim (\frac{x ^{3} - 4 x ^{2} - 19 x - 14}{x ^{2} - 8 x - 7})

Plug in the value

x = 7

= \frac{7 ^{3} - 4 \cdot 7 ^{2} - 19 \cdot 7 - 14}{7 ^{2} - 8 \cdot 7 - 7}

Simplify

\frac{7 ^{3} - 4 \cdot 7 ^{2} - 19 \cdot 7 - 14}{7 ^{2} - 8 \cdot 7 - 7} : 0

= 0

y^{^{''}} + 2 y^{^{'}} + y = x^{2} - 2 x + 1

\frac{d}{d x} ((x^{4} ln (x))^{5})

x \to 6 lim (ln (6 - x))

x \to 0 lim (x - \frac{1}{x})

x \to 0 + lim (4 sin (x) ln (x))

What is the limit as x approaches 7 of (x^3-4x^2-19x-14)/(x^2-8x-7) ?
The limit as x approaches 7 of (x^3-4x^2-19x-14)/(x^2-8x-7) is 0