Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+3*sqrt(x))/(-1+4*sqrt(x))
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Limit of (-4+2*x)/(6+4*x+7*x^2)
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Limit of ((5+2*x)/(2*x))^(3*x)
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Limit of ((-4+2*x)/(1+2*x))^(5+3*x)
- Integral of d{x}:
- x/(1+e^x)
- Derivative of:
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x/(1+e^x)
- Graphing y =:
- x/(1+e^x)
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Identical expressions
- x/(one +e^x)
- x divide by (1 plus e to the power of x)
- x divide by (one plus e to the power of x)
- x/(1+ex)
- x/1+ex
- x/1+e^x
- x divide by (1+e^x)
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Similar expressions
- x/(1-e^x)
- (-1+3*e^x)/(1+e^x)
Limit of the function x/(1+e^x)
The solution
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[src]
/ x \
lim |------|
x->pi*I+| x|
\1 + E /
$$\lim_{x \to i \pi^+}\left(\frac{x}{e^{x} + 1}\right)$$
Limit(x/(1 + E^x), x, pi*i)
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to i \pi^-}\left(\frac{x}{e^{x} + 1}\right) = - \infty i$$
More at x→pi*i from the left
$$\lim_{x \to i \pi^+}\left(\frac{x}{e^{x} + 1}\right) = - \infty i$$
$$\lim_{x \to \infty}\left(\frac{x}{e^{x} + 1}\right) = 0$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{x}{e^{x} + 1}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x}{e^{x} + 1}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x}{e^{x} + 1}\right) = \frac{1}{1 + e}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x}{e^{x} + 1}\right) = \frac{1}{1 + e}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x}{e^{x} + 1}\right) = -\infty$$
More at x→-oo
More at x→pi*i from the left
$$\lim_{x \to i \pi^+}\left(\frac{x}{e^{x} + 1}\right) = - \infty i$$
$$\lim_{x \to \infty}\left(\frac{x}{e^{x} + 1}\right) = 0$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{x}{e^{x} + 1}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x}{e^{x} + 1}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x}{e^{x} + 1}\right) = \frac{1}{1 + e}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x}{e^{x} + 1}\right) = \frac{1}{1 + e}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x}{e^{x} + 1}\right) = -\infty$$
More at x→-oo
One‐sided limits
[src]
/ x \
lim |------|
x->pi*I+| x|
\1 + E /
$$\lim_{x \to i \pi^+}\left(\frac{x}{e^{x} + 1}\right)$$
-oo*I
$$- \infty i$$
/ x \
lim |------|
x->pi*I-| x|
\1 + E /
$$\lim_{x \to i \pi^-}\left(\frac{x}{e^{x} + 1}\right)$$
oo*I
$$\infty i$$
oo*i