Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 7*tan(9*x/5)/x
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Limit of (2+x^2-3*x)/(3+x^2-4*x)
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Limit of -2+e^x-e^(-x)-sin(x)
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Limit of (2-7*x+3*x^2)/(2-5*x+2*x^2)
- Integral of d{x}:
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e*x
- Derivative of:
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e*x
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Identical expressions
- e*x
- e multiply by x
- ex
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Similar expressions
- exp(x^2)
- -2+e^x-e^(-x)-sin(x)
- x*exp(-x)
- (e^x-e^2)/(-2+x)
- exp(2*x)
Limit of the function e*x
The solution
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]
lim (E*x) x->0+
$$\lim_{x \to 0^+}\left(e x\right)$$
0
$$0$$
= 2.32586864602047e-32
lim (E*x) x->0-
$$\lim_{x \to 0^-}\left(e x\right)$$
0
$$0$$
= -2.32586864602047e-32
= -2.32586864602047e-32
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(e x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e x\right) = 0$$
$$\lim_{x \to \infty}\left(e x\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(e x\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e x\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e x\right) = -\infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e x\right) = 0$$
$$\lim_{x \to \infty}\left(e x\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(e x\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e x\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e x\right) = -\infty$$
More at x→-oo
The graph