Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-2*x^2+4*x^3+5*x)/(3*x^2+7*x)
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Limit of (1-3*x^2+2*x^3)/(x^3+2*x+4*x^2)
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Limit of 5+3*n
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Limit of (1-cos(4*x))/(5*x)
- Graphing y =:
- x-e^x
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Identical expressions
- x-e^x
- x minus e to the power of x
- x-ex
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Similar expressions
- (1-cos(x))/(e^(2*x)-e^x)
- x+e^x
- (e^(3*x)-e^x)/sin(2*x)
Limit of the function x-e^x
The solution
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/ x\ lim \x - E / x->-oo
$$\lim_{x \to -\infty}\left(- e^{x} + x\right)$$
Limit(x - 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
$$\lim_{x \to -\infty}\left(- e^{x} + x\right) = -\infty$$
$$\lim_{x \to \infty}\left(- e^{x} + x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(- e^{x} + x\right) = -1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- e^{x} + x\right) = -1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- e^{x} + x\right) = 1 - e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- e^{x} + x\right) = 1 - e$$
More at x→1 from the right
$$\lim_{x \to \infty}\left(- e^{x} + x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(- e^{x} + x\right) = -1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- e^{x} + x\right) = -1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- e^{x} + x\right) = 1 - e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- e^{x} + x\right) = 1 - e$$
More at x→1 from the right
The graph