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 =:
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-exp(x)
- Derivative of:
- -exp(x)
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Identical expressions
- -exp(x)
- minus exponent of (x)
- -expx
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Similar expressions
- (1-exp(x^2)+x*sin(x))/x^4
- exp(x)
Limit of the function -exp(x)
The solution
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/ x\ lim \-e / x->oo
$$\lim_{x \to \infty}\left(- e^{x}\right)$$
Limit(-exp(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
$$\lim_{x \to \infty}\left(- e^{x}\right) = -\infty$$
$$\lim_{x \to 0^-}\left(- e^{x}\right) = -1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- e^{x}\right) = -1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- e^{x}\right) = - e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- e^{x}\right) = - e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- e^{x}\right) = 0$$
More at x→-oo
$$\lim_{x \to 0^-}\left(- e^{x}\right) = -1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- e^{x}\right) = -1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- e^{x}\right) = - e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- e^{x}\right) = - e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- e^{x}\right) = 0$$
More at x→-oo
The graph