Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+3*x)^(5/x)
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Limit of (-16+x^2+6*x)/(-2-5*x+3*x^2)
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Limit of (1+x)^(2/3)-(-1+x)^(2/3)
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Limit of 1/3+x/3
- Derivative of:
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-1/x^2
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Identical expressions
- - one /x^ two
- minus 1 divide by x squared
- minus one divide by x to the power of two
- -1/x2
- -1/x²
- -1/x to the power of 2
- -1 divide by x^2
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Similar expressions
- x*e^(-1/x^2)
- 1+x^2-1/x^2
- 1/x^2
- -1/x^2+sin(x)
- cot(x)^2-1/x^2
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What you mean?
- -1/(x^2)
- -1*2/x
- -1/(x^2)
- -1*2/x
- -1/(x^2)
- -1/(x^2)
You entered:
-1/x^2
What you mean?
Limit of the function -1/x^2
The solution
You have entered
[src]
/-1 \
lim |---|
x->2+| 2|
\ x /
$$\lim_{x \to 2^+}\left(- \frac{1}{x^{2}}\right)$$
Limit(-1/(x^2), 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]
/-1 \
lim |---|
x->2+| 2|
\ x /
$$\lim_{x \to 2^+}\left(- \frac{1}{x^{2}}\right)$$
-1/4
$$- \frac{1}{4}$$
= -0.25
/-1 \
lim |---|
x->2-| 2|
\ x /
$$\lim_{x \to 2^-}\left(- \frac{1}{x^{2}}\right)$$
-1/4
$$- \frac{1}{4}$$
= -0.25
= -0.25
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 2^-}\left(- \frac{1}{x^{2}}\right) = - \frac{1}{4}$$
More at x→2 from the left
$$\lim_{x \to 2^+}\left(- \frac{1}{x^{2}}\right) = - \frac{1}{4}$$
$$\lim_{x \to \infty}\left(- \frac{1}{x^{2}}\right) = 0$$
More at x→oo
$$\lim_{x \to 0^-}\left(- \frac{1}{x^{2}}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- \frac{1}{x^{2}}\right) = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- \frac{1}{x^{2}}\right) = -1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- \frac{1}{x^{2}}\right) = -1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- \frac{1}{x^{2}}\right) = 0$$
More at x→-oo
More at x→2 from the left
$$\lim_{x \to 2^+}\left(- \frac{1}{x^{2}}\right) = - \frac{1}{4}$$
$$\lim_{x \to \infty}\left(- \frac{1}{x^{2}}\right) = 0$$
More at x→oo
$$\lim_{x \to 0^-}\left(- \frac{1}{x^{2}}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- \frac{1}{x^{2}}\right) = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- \frac{1}{x^{2}}\right) = -1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- \frac{1}{x^{2}}\right) = -1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- \frac{1}{x^{2}}\right) = 0$$
More at x→-oo
The graph