Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+e^(3*x))/x
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Limit of cot(3*x)/cot(5*x)
- Limit of sin(n*x)
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Limit of e^x
- Graphing y =:
- e^x
- Equation:
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e^x
- Derivative of:
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e^x
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Identical expressions
- e^x
- e to the power of x
- ex
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Similar expressions
- log(1+e^x)
- x+e^x
- e^x-sin(x)-e^sin(x)/x
- e^(x^2)*x^3
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]
x lim e x->pi+
$$\lim_{x \to \pi^+} e^{x}$$
pi e
$$e^{\pi}$$
= 23.1406926327793
x lim e x->pi-
$$\lim_{x \to \pi^-} e^{x}$$
pi e
$$e^{\pi}$$
= 23.1406926327793
= 23.1406926327793
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \pi^-} e^{x} = e^{\pi}$$
More at x→pi from the left
$$\lim_{x \to \pi^+} e^{x} = e^{\pi}$$
$$\lim_{x \to \infty} e^{x} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} e^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{x} = e$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{x} = e$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{x} = 0$$
More at x→-oo
More at x→pi from the left
$$\lim_{x \to \pi^+} e^{x} = e^{\pi}$$
$$\lim_{x \to \infty} e^{x} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} e^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{x} = e$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{x} = e$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{x} = 0$$
More at x→-oo
The graph