Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
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Limit of (-5+2*x+3*x^4)/(7+x+2*x^2)
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Limit of (5+x^2-6*x)/(-1+x^2)
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Limit of ((2+x)/(-2+x))^x
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Limit of (-3+sqrt(1+4*x))/(-8+x^3)
- Graphing y =:
- x^3+3*x^2
- Derivative of:
- x^3+3*x^2
- Integral of d{x}:
- x^3+3*x^2
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Identical expressions
- x^ three + three *x^ two
- x cubed plus 3 multiply by x squared
- x to the power of three plus three multiply by x to the power of two
- x3+3*x2
- x³+3*x²
- x to the power of 3+3*x to the power of 2
- x^3+3x^2
- x3+3x2
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Similar expressions
- (-1+e^(3*x)-3*x)/(x^3+3*x^2)
- x^3-3*x^2
Limit of the function x^3+3*x^2
The solution
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[src]
/ 3 2\ lim \x + 3*x / x->3+
$$\lim_{x \to 3^+}\left(x^{3} + 3 x^{2}\right)$$
Limit(x^3 + 3*x^2, x, 3)
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
The graph
One‐sided limits
[src]
/ 3 2\ lim \x + 3*x / x->3+
$$\lim_{x \to 3^+}\left(x^{3} + 3 x^{2}\right)$$
54
$$54$$
= 54.0
/ 3 2\ lim \x + 3*x / x->3-
$$\lim_{x \to 3^-}\left(x^{3} + 3 x^{2}\right)$$
54
$$54$$
= 54.0
= 54.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 3^-}\left(x^{3} + 3 x^{2}\right) = 54$$
More at x→3 from the left
$$\lim_{x \to 3^+}\left(x^{3} + 3 x^{2}\right) = 54$$
$$\lim_{x \to \infty}\left(x^{3} + 3 x^{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x^{3} + 3 x^{2}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} + 3 x^{2}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{3} + 3 x^{2}\right) = 4$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} + 3 x^{2}\right) = 4$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} + 3 x^{2}\right) = -\infty$$
More at x→-oo
More at x→3 from the left
$$\lim_{x \to 3^+}\left(x^{3} + 3 x^{2}\right) = 54$$
$$\lim_{x \to \infty}\left(x^{3} + 3 x^{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x^{3} + 3 x^{2}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} + 3 x^{2}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{3} + 3 x^{2}\right) = 4$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} + 3 x^{2}\right) = 4$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} + 3 x^{2}\right) = -\infty$$
More at x→-oo
The graph