Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+x^2+9*x)/(-5+2*x+7*x^2)
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Limit of ((5+x^2-6*x)/(5+x^2-5*x))^(2+3*x)
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Limit of (2+x^2+3*x)/(-4+x^2)
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Limit of (-8+x^2+2*x)/(-2+x)
- Derivative of:
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2*e^(2*x)
- Integral of d{x}:
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2*e^(2*x)
- Graphing y =:
- 2*e^(2*x)
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Identical expressions
- two *e^(two *x)
- 2 multiply by e to the power of (2 multiply by x)
- two multiply by e to the power of (two multiply by x)
- 2*e(2*x)
- 2*e2*x
- 2e^(2x)
- 2e(2x)
- 2e2x
- 2e^2x
Limit of the function 2*e^(2*x)
The solution
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/ 2*x\ lim \2*E / x->oo
$$\lim_{x \to \infty}\left(2 e^{2 x}\right)$$
Limit(2*E^(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
$$\lim_{x \to \infty}\left(2 e^{2 x}\right) = \infty$$
$$\lim_{x \to 0^-}\left(2 e^{2 x}\right) = 2$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 e^{2 x}\right) = 2$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 e^{2 x}\right) = 2 e^{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 e^{2 x}\right) = 2 e^{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 e^{2 x}\right) = 0$$
More at x→-oo
$$\lim_{x \to 0^-}\left(2 e^{2 x}\right) = 2$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 e^{2 x}\right) = 2$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 e^{2 x}\right) = 2 e^{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 e^{2 x}\right) = 2 e^{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 e^{2 x}\right) = 0$$
More at x→-oo
The graph