Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-exp(-x)+exp(x))/(exp(x)+exp(-x))
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Limit of ((3+5*x)/(-2+4*x))^(1+3*x)
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Limit of (3+3*x^3+5*x+5*x^2)/(-1+x^2)
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Limit of (3-x^2+5*x)/(4*x^7+81*x)
- Integral of d{x}:
- x+4/x^2
- Graphing y =:
- x+4/x^2
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Identical expressions
- x+ four /x^ two
- x plus 4 divide by x squared
- x plus four divide by x to the power of two
- x+4/x2
- x+4/x²
- x+4/x to the power of 2
- x+4 divide by x^2
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Similar expressions
- x^7-x+4/x^2
- x-4/x^2
Limit of the function x+4/x^2
The solution
You have entered
[src]
/ 4 \
lim |x + --|
x->0+| 2|
\ x /
$$\lim_{x \to 0^+}\left(x + \frac{4}{x^{2}}\right)$$
Limit(x + 4/x^2, 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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(x + \frac{4}{x^{2}}\right) = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + \frac{4}{x^{2}}\right) = \infty$$
$$\lim_{x \to \infty}\left(x + \frac{4}{x^{2}}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x + \frac{4}{x^{2}}\right) = 5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + \frac{4}{x^{2}}\right) = 5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + \frac{4}{x^{2}}\right) = -\infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + \frac{4}{x^{2}}\right) = \infty$$
$$\lim_{x \to \infty}\left(x + \frac{4}{x^{2}}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x + \frac{4}{x^{2}}\right) = 5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + \frac{4}{x^{2}}\right) = 5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + \frac{4}{x^{2}}\right) = -\infty$$
More at x→-oo
One‐sided limits
[src]
/ 4 \
lim |x + --|
x->0+| 2|
\ x /
$$\lim_{x \to 0^+}\left(x + \frac{4}{x^{2}}\right)$$
oo
$$\infty$$
= 91204.0066225166
/ 4 \
lim |x + --|
x->0-| 2|
\ x /
$$\lim_{x \to 0^-}\left(x + \frac{4}{x^{2}}\right)$$
oo
$$\infty$$
= 91203.9933774834
= 91203.9933774834
The graph