Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-2*x^2+4*x^3+5*x)/(3*x^2+7*x)
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Limit of (1-3*x^2+2*x^3)/(x^3+2*x+4*x^2)
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Limit of 5+3*n
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Limit of (1-cos(4*x))/(5*x)
- Graphing y =:
- x^2+2/x
- Derivative of:
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x^2+2/x
- Integral of d{x}:
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x^2+2/x
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Identical expressions
- x^ two + two /x
- x squared plus 2 divide by x
- x to the power of two plus two divide by x
- x2+2/x
- x²+2/x
- x to the power of 2+2/x
- x^2+2 divide by x
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Similar expressions
- x^2-2/x
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What you mean?
- (x^2 + 2)/x
- x*(2 + 2)/x
- x^(2 + 2)/x
- x^2 + 2/x
- x^2 + 2/x
You entered:
x^2+2/x
What you mean?
Limit of the function x^2+2/x
The solution
You have entered
[src]
/ 2 2\ lim |x + -| x->0+\ x/
$$\lim_{x \to 0^+}\left(x^{2} + \frac{2}{x}\right)$$
Limit(x^2 + 2/x, x, 0)
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]
/ 2 2\ lim |x + -| x->0+\ x/
$$\lim_{x \to 0^+}\left(x^{2} + \frac{2}{x}\right)$$
oo
$$\infty$$
= 302.000043857726
/ 2 2\ lim |x + -| x->0-\ x/
$$\lim_{x \to 0^-}\left(x^{2} + \frac{2}{x}\right)$$
-oo
$$-\infty$$
= -301.999956142274
= -301.999956142274
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(x^{2} + \frac{2}{x}\right) = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{2} + \frac{2}{x}\right) = \infty$$
$$\lim_{x \to \infty}\left(x^{2} + \frac{2}{x}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x^{2} + \frac{2}{x}\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{2} + \frac{2}{x}\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{2} + \frac{2}{x}\right) = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{2} + \frac{2}{x}\right) = \infty$$
$$\lim_{x \to \infty}\left(x^{2} + \frac{2}{x}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x^{2} + \frac{2}{x}\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{2} + \frac{2}{x}\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{2} + \frac{2}{x}\right) = \infty$$
More at x→-oo
The graph