Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of -2+x^3+6*x
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Limit of ((-2+x)/x)^(2*x)
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Limit of (1+x)^3+(-1+x)^2-(-1+x)^3/(1+x)^2
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Limit of -(1-cos(2*x))*sin(x)/x+tan(x)
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Identical expressions
- two /(x+x^ two)
- 2 divide by (x plus x squared )
- two divide by (x plus x to the power of two)
- 2/(x+x2)
- 2/x+x2
- 2/(x+x²)
- 2/(x+x to the power of 2)
- 2/x+x^2
- 2 divide by (x+x^2)
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Similar expressions
- 2/(x-x^2)
Limit of the function 2/(x+x^2)
The solution
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[src]
/ 2 \
lim |------|
x->0+| 2|
\x + x /
$$\lim_{x \to 0^+}\left(\frac{2}{x^{2} + x}\right)$$
Limit(2/(x + 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
One‐sided limits
[src]
/ 2 \
lim |------|
x->0+| 2|
\x + x /
$$\lim_{x \to 0^+}\left(\frac{2}{x^{2} + x}\right)$$
oo
$$\infty$$
= 300.013157894737
/ 2 \
lim |------|
x->0-| 2|
\x + x /
$$\lim_{x \to 0^-}\left(\frac{2}{x^{2} + x}\right)$$
-oo
$$-\infty$$
= -304.013333333333
= -304.013333333333
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(\frac{2}{x^{2} + x}\right) = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{2}{x^{2} + x}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{2}{x^{2} + x}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{2}{x^{2} + x}\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{2}{x^{2} + x}\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{2}{x^{2} + x}\right) = 0$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{2}{x^{2} + x}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{2}{x^{2} + x}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{2}{x^{2} + x}\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{2}{x^{2} + x}\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{2}{x^{2} + x}\right) = 0$$
More at x→-oo
The graph