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 (-cos(5*x)+cos(3*x))/x^2
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Limit of (-1+cos(7*x))/(-1+cos(3*x))
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Limit of (16+x^2+10*x)/(-6+x^2-x)
- Derivative of:
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-e^x
- Integral of d{x}:
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-e^x
- Graphing y =:
- -e^x
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Identical expressions
- -e^x
- minus e to the power of x
- -ex
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Similar expressions
- (1-cos(x))/(e^(2*x)-e^x)
- (2-e^(x^2))/cos(pi*x)
- (1-e^(x^2))/(1-cos(x/2))
- (1-e^x)*cot(x)
- e^x
Limit of the function -e^x
The solution
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[src]
/ x\ lim \-E / x->0+
$$\lim_{x \to 0^+}\left(- e^{x}\right)$$
Limit(-E^x, x, 0)
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
One‐sided limits
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/ x\ lim \-E / x->0+
$$\lim_{x \to 0^+}\left(- e^{x}\right)$$
-1
$$-1$$
= -1.0
/ x\ lim \-E / x->0-
$$\lim_{x \to 0^-}\left(- e^{x}\right)$$
-1
$$-1$$
= -1.0
= -1.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(- e^{x}\right) = -1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- e^{x}\right) = -1$$
$$\lim_{x \to \infty}\left(- e^{x}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(- e^{x}\right) = - e$$
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
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- e^{x}\right) = -1$$
$$\lim_{x \to \infty}\left(- e^{x}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(- e^{x}\right) = - e$$
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