Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 7^(1/(-3+x))
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Limit of (3-3*x^2+4*x^4+6*x^3)/(2*x^2+7*x^4)
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Limit of ((5+4*x)/(-1+5*x))^(1+3*x)
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Limit of (-6-x^2-3*x+4*x^3)/(3-x^2+2*x^3)
- Integral of d{x}:
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e^3
- Derivative of:
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e^3
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Identical expressions
- e^ three
- e cubed
- e to the power of three
- e3
- e³
- e to the power of 3
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Similar expressions
- x*e^(3/x)
- (x+e^(3*x))^(1/x)
- e^(3/x)
- (e^(3*x)-e^x)/sin(2*x)
Limit of the function e^3
The solution
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
$$\lim_{x \to \infty} e^{3} = e^{3}$$
$$\lim_{x \to 0^-} e^{3} = e^{3}$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{3} = e^{3}$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{3} = e^{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{3} = e^{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{3} = e^{3}$$
More at x→-oo
$$\lim_{x \to 0^-} e^{3} = e^{3}$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{3} = e^{3}$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{3} = e^{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{3} = e^{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{3} = e^{3}$$
More at x→-oo
The graph