What is the limit as x approaches 0 of x^3+3x^2-x+1 ?

The limit as x approaches 0 of x^3+3x^2-x+1 is 1

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limit as x approaches 0 of x^3+3x^2-x+1

x \to 0 lim (x^{3} + 3 x^{2} - x + 1)

1

Solution steps

x \to 0 lim (x^{3} + 3 x^{2} - x + 1)

Plug in the value

x = 0

= 0^{3} + 3 \cdot 0^{2} - 0 + 1

Simplify

= 1

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

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

x \to 3 lim (\frac{x ^{2} + 40 - 7}{x - 3})

x \to \frac{π}{2} lim (\frac{sin ( x )}{cos ( x )})

x \to π lim (\frac{sin ( x )}{2 + cos ( x )})

What is the limit as x approaches 0 of x^3+3x^2-x+1 ?
The limit as x approaches 0 of x^3+3x^2-x+1 is 1