Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of -sin(x)+tan(x)
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Limit of cos(x)*tan(5*x)
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Limit of -1+sqrt(5)-sqrt(2)-2*x
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Limit of ((-1+4*x)/(3+4*x))^(2+3*x)
- Derivative of:
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x^3+3*x
- Graphing y =:
- x^3+3*x
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Identical expressions
- x^ three + three *x
- x cubed plus 3 multiply by x
- x to the power of three plus three multiply by x
- x3+3*x
- x³+3*x
- x to the power of 3+3*x
- x^3+3x
- x3+3x
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Similar expressions
- (x^2-8*x)/(3-2*x^3+3*x^2)
- x^2/(x^3+3*x)
- x^3-3*x
- (1+x^3+x^5)/(-2+x^3+3*x)
- (2-x^3+3*x^2)/(2+x^2-x)
- -x^3+3*x^2+7*x^4-5*x/4
Limit of the function x^3+3*x
The solution
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[src]
/ 3 \ lim \x + 3*x/ x->2+
$$\lim_{x \to 2^+}\left(x^{3} + 3 x\right)$$
Limit(x^3 + 3*x, x, 2)
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 \ lim \x + 3*x/ x->2+
$$\lim_{x \to 2^+}\left(x^{3} + 3 x\right)$$
14
$$14$$
= 14.0
/ 3 \ lim \x + 3*x/ x->2-
$$\lim_{x \to 2^-}\left(x^{3} + 3 x\right)$$
14
$$14$$
= 14.0
= 14.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 2^-}\left(x^{3} + 3 x\right) = 14$$
More at x→2 from the left
$$\lim_{x \to 2^+}\left(x^{3} + 3 x\right) = 14$$
$$\lim_{x \to \infty}\left(x^{3} + 3 x\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x^{3} + 3 x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} + 3 x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{3} + 3 x\right) = 4$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} + 3 x\right) = 4$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} + 3 x\right) = -\infty$$
More at x→-oo
More at x→2 from the left
$$\lim_{x \to 2^+}\left(x^{3} + 3 x\right) = 14$$
$$\lim_{x \to \infty}\left(x^{3} + 3 x\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x^{3} + 3 x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} + 3 x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{3} + 3 x\right) = 4$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} + 3 x\right) = 4$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} + 3 x\right) = -\infty$$
More at x→-oo
The graph