What is the limit as x approaches 1 of x^3+4x^2-x+1 ?

The limit as x approaches 1 of x^3+4x^2-x+1 is 5

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limit as x approaches 1 of x^3+4x^2-x+1

x \to 1 lim (x^{3} + 4 x^{2} - x + 1)

5

Solution steps

x \to 1 lim (x^{3} + 4 x^{2} - x + 1)

Plug in the value

x = 1

= 1^{3} + 4 \cdot 1^{2} - 1 + 1

Simplify

= 5

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

x \to 0 lim (\frac{2}{3 x})

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

x \to \frac{3}{4} lim (x)

x \to 1 lim (x + 5)

What is the limit as x approaches 1 of x^3+4x^2-x+1 ?
The limit as x approaches 1 of x^3+4x^2-x+1 is 5