Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+e^(2*x))/(3*x)
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Limit of (-1+3*x)/(5+x^2+7*x)
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Limit of 1+13*x/5
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Limit of (7+x+x^2)/(-1+e^x)
- Integral of d{x}:
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2*e^x
- Derivative of:
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2*e^x
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Identical expressions
- two *e^x
- 2 multiply by e to the power of x
- two multiply by e to the power of x
- 2*ex
- 2e^x
- 2ex
Limit of the function 2*e^x
The solution
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/ x\ lim \2*E / x->-oo
$$\lim_{x \to -\infty}\left(2 e^{x}\right)$$
Limit(2*E^x, x, -oo)
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
$$\lim_{x \to -\infty}\left(2 e^{x}\right) = 0$$
$$\lim_{x \to \infty}\left(2 e^{x}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 e^{x}\right) = 2$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 e^{x}\right) = 2$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 e^{x}\right) = 2 e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 e^{x}\right) = 2 e$$
More at x→1 from the right
$$\lim_{x \to \infty}\left(2 e^{x}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 e^{x}\right) = 2$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 e^{x}\right) = 2$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 e^{x}\right) = 2 e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 e^{x}\right) = 2 e$$
More at x→1 from the right
The graph