Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (5+x-3*x^2)/(4-x+2*x^2)
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Limit of (4-x^2)/(3-x^2)
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Limit of (3+2*x)/(1-5*x)
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Limit of (1-2*cos(x))/sin(3*x)
- Graphing y =:
- exp(2-x)/(2-x)
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Identical expressions
- exp(two -x)/(two -x)
- exponent of (2 minus x) divide by (2 minus x)
- exponent of (two minus x) divide by (two minus x)
- exp2-x/2-x
- exp(2-x) divide by (2-x)
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Similar expressions
- exp(2-x)/(2+x)
- exp(2+x)/(2-x)
Limit of the function exp(2-x)/(2-x)
The solution
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[src]
/ 2 - x\
|e |
lim |------|
x->oo\2 - x /
$$\lim_{x \to \infty}\left(\frac{e^{2 - x}}{2 - x}\right)$$
Limit(exp(2 - x)/(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
$$\lim_{x \to \infty}\left(\frac{e^{2 - x}}{2 - x}\right) = 0$$
$$\lim_{x \to 0^-}\left(\frac{e^{2 - x}}{2 - x}\right) = \frac{e^{2}}{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{e^{2 - x}}{2 - x}\right) = \frac{e^{2}}{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{e^{2 - x}}{2 - x}\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{e^{2 - x}}{2 - x}\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{e^{2 - x}}{2 - x}\right) = \infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\frac{e^{2 - x}}{2 - x}\right) = \frac{e^{2}}{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{e^{2 - x}}{2 - x}\right) = \frac{e^{2}}{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{e^{2 - x}}{2 - x}\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{e^{2 - x}}{2 - x}\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{e^{2 - x}}{2 - x}\right) = \infty$$
More at x→-oo
The graph