Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of exp(2*x)
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Limit of 2*x^2
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Limit of e^(-x)/x
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Limit of x^3-2*x^2
- Integral of d{x}:
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exp(2*x)
- Graphing y =:
- exp(2*x)
- Derivative of:
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exp(2*x)
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Identical expressions
- exp(two *x)
- exponent of (2 multiply by x)
- exponent of (two multiply by x)
- exp(2x)
- exp2x
Limit of the function exp(2*x)
The solution
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2*x lim e x->oo
$$\lim_{x \to \infty} e^{2 x}$$
Limit(exp(2*x), x, oo, dir='-')
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
$$\lim_{x \to \infty} e^{2 x} = \infty$$
$$\lim_{x \to 0^-} e^{2 x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{2 x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{2 x} = e^{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{2 x} = e^{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{2 x} = 0$$
More at x→-oo
$$\lim_{x \to 0^-} e^{2 x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{2 x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{2 x} = e^{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{2 x} = e^{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{2 x} = 0$$
More at x→-oo
The graph