Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
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Limit of (2+x^2+3*x)/(2+2*x^2+5*x)
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Limit of (asin(x)^2-atan(x)^2+sin(2*x))/(3*x)
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Limit of 1+(4/3)^n
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Limit of n/(-1+n)
- Canonical form:
- x-1/x
- Integral of d{x}:
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x-1/x
- Graphing y =:
- x-1/x
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Identical expressions
- x- one /x
- x minus 1 divide by x
- x minus one divide by x
- x-1 divide by x
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Similar expressions
- x+1/x
- sqrt(1+x*sin(x))-1/x^2
- (sin(3*x)/(2*x))^(-1/x^2)
Limit of the function x-1/x
The solution
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[src]
/ 1\ lim |x - -| x->0+\ x/
$$\lim_{x \to 0^+}\left(x - \frac{1}{x}\right)$$
Limit(x - 1/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]
/ 1\ lim |x - -| x->0+\ x/
$$\lim_{x \to 0^+}\left(x - \frac{1}{x}\right)$$
-oo
$$-\infty$$
= -150.993377483444
/ 1\ lim |x - -| x->0-\ x/
$$\lim_{x \to 0^-}\left(x - \frac{1}{x}\right)$$
oo
$$\infty$$
= 150.993377483444
= 150.993377483444
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(x - \frac{1}{x}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x - \frac{1}{x}\right) = -\infty$$
$$\lim_{x \to \infty}\left(x - \frac{1}{x}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x - \frac{1}{x}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x - \frac{1}{x}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x - \frac{1}{x}\right) = -\infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x - \frac{1}{x}\right) = -\infty$$
$$\lim_{x \to \infty}\left(x - \frac{1}{x}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x - \frac{1}{x}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x - \frac{1}{x}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x - \frac{1}{x}\right) = -\infty$$
More at x→-oo
The graph