Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-4+x^2)/(-8+x^3)
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Limit of 2*x
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Limit of exp(x)
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Limit of tan(6*x)/(2*x)
- Graphing y =:
- exp(x)
- Derivative of:
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exp(x)
- Integral of d{x}:
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exp(x)
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Identical expressions
- exp(x)
- exponent of (x)
- expx
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Similar expressions
- x*exp(x^2/2)
- exp(x^2)
Limit of the function exp(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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} e^{x} = \infty$$
$$\lim_{x \to 0^-} e^{x} = 1$$
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
$$\lim_{x \to 0^-} e^{x} = 1$$
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