What is the limit as x approaches 7-of ((x^2-5x-14))/(x^2-49) ?

The limit as x approaches 7-of ((x^2-5x-14))/(x^2-49) is 9/14

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limit as x approaches 7-of ((x^2-5x-14))/(x^2-49)

x \to 7 - lim (\frac{( x ^{2} - 5 x - 14 )}{x ^{2} - 49})

\frac{9}{14}

Decimal

0.64285 \dots

Solution steps

x \to 7 - lim (\frac{x ^{2} - 5 x - 14}{x ^{2} - 49})

Simplify

\frac{x ^{2} - 5 x - 14}{x ^{2} - 49} : \frac{x + 2}{x + 7}

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

Plug in the value

x = 7

= \frac{7 + 2}{7 + 7}

Simplify

= \frac{9}{14}

n \to \infty lim (n x^{n})

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

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

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

x \to 2 lim (\frac{x ^{2} + 5}{x - 3})

What is the limit as x approaches 7-of ((x^2-5x-14))/(x^2-49) ?
The limit as x approaches 7-of ((x^2-5x-14))/(x^2-49) is 9/14