What is the limit as x approaches 2 of x^3+5x^2-7x+1 ?

The limit as x approaches 2 of x^3+5x^2-7x+1 is 15

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limit as x approaches 2 of x^3+5x^2-7x+1

x \to 2 lim (x^{3} + 5 x^{2} - 7 x + 1)

15

Solution steps

x \to 2 lim (x^{3} + 5 x^{2} - 7 x + 1)

Plug in the value

x = 2

= 2^{3} + 5 \cdot 2^{2} - 7 \cdot 2 + 1

Simplify

2^{3} + 5 \cdot 2^{2} - 7 \cdot 2 + 1 : 15

= 15

\frac{d}{d x} (- \frac{25}{( 1 + 5 x ) ^{2}})

\frac{x}{5} + \frac{5}{x}

\int 6 x^{3} 3 x^{4} + 2 d x

\int x ln (3 + x) d x

(- 9 x^{3} + 5 x^{2})^{4}

What is the limit as x approaches 2 of x^3+5x^2-7x+1 ?
The limit as x approaches 2 of x^3+5x^2-7x+1 is 15