What is the limit as x approaches 2 of ((7x^5-10x^4-13x+6))/((3x^2-6x-8)) ?

The limit as x approaches 2 of ((7x^5-10x^4-13x+6))/((3x^2-6x-8)) is -11/2

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limit as x approaches 2 of ((7x^5-10x^4-13x+6))/((3x^2-6x-8))

x \to 2 lim (\frac{( 7 x ^{5} - 10 x ^{4} - 13 x + 6 )}{( 3 x ^{2} - 6 x - 8 )})

- \frac{11}{2}

Decimal

- 5.5

Solution steps

x \to 2 lim (\frac{7 x ^{5} - 10 x ^{4} - 13 x + 6}{3 x ^{2} - 6 x - 8})

Plug in the value

x = 2

= \frac{7 \cdot 2 ^{5} - 10 \cdot 2 ^{4} - 13 \cdot 2 + 6}{3 \cdot 2 ^{2} - 6 \cdot 2 - 8}

Simplify

\frac{7 \cdot 2 ^{5} - 10 \cdot 2 ^{4} - 13 \cdot 2 + 6}{3 \cdot 2 ^{2} - 6 \cdot 2 - 8} : - \frac{11}{2}

= - \frac{11}{2}

What is the limit as x approaches 2 of ((7x^5-10x^4-13x+6))/((3x^2-6x-8)) ?
The limit as x approaches 2 of ((7x^5-10x^4-13x+6))/((3x^2-6x-8)) is -11/2