What is the limit as x approaches 3 of 3x^3-5x^2+x-8 ?

The limit as x approaches 3 of 3x^3-5x^2+x-8 is 31

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limit as x approaches 3 of 3x^3-5x^2+x-8

x \to 3 lim (3 x^{3} - 5 x^{2} + x - 8)

31

Solution steps

x \to 3 lim (3 x^{3} - 5 x^{2} + x - 8)

Plug in the value

x = 3

= 3 \cdot 3^{3} - 5 \cdot 3^{2} + 3 - 8

Simplify

3 \cdot 3^{3} - 5 \cdot 3^{2} + 3 - 8 : 31

= 31

\int \frac{1}{x ^{2} + 6 x + 5} d x

x \to 4 + lim (\frac{1}{x ^{2} - 16})

\frac{d ^{2}}{d x ^{2}} (\frac{x}{x ^{2} + 4})

\int \frac{64 x ^{2} - 49}{x ^{3}} d x

(1 + y) d x + (1 - x) d y = 0

What is the limit as x approaches 3 of 3x^3-5x^2+x-8 ?
The limit as x approaches 3 of 3x^3-5x^2+x-8 is 31