Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3+2*n)/|-1+2*n|
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Limit of (3+x^2-4*x)/(-9+x^2)
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Limit of (x^2-3*x)/(-8+x^2)
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Limit of (1+5*x)*(-1+5*x)
- Derivative of:
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e^(3*x)
- Integral of d{x}:
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e^(3*x)
- Graphing y =:
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e^(3*x)
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Identical expressions
- e^(three *x)
- e to the power of (3 multiply by x)
- e to the power of (three multiply by x)
- e(3*x)
- e3*x
- e^(3x)
- e(3x)
- e3x
- e^3x
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Similar expressions
- (-1+e^(3*x))/(3+x)
- (x+e^(3*x))^(1/x)
- (e^x+e^(3*x))/x
- (e^(3*x)-e^x)/sin(2*x)
- (-1+e^(3*x))/(3*x)
Limit of the function e^(3*x)
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
One‐sided limits
[src]
3*x lim E x->0+
$$\lim_{x \to 0^+} e^{3 x}$$
1
$$1$$
= 1.0
3*x lim E x->0-
$$\lim_{x \to 0^-} e^{3 x}$$
1
$$1$$
= 1.0
= 1.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} e^{3 x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{3 x} = 1$$
$$\lim_{x \to \infty} e^{3 x} = \infty$$
More at x→oo
$$\lim_{x \to 1^-} e^{3 x} = e^{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{3 x} = e^{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{3 x} = 0$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} e^{3 x} = 1$$
$$\lim_{x \to \infty} e^{3 x} = \infty$$
More at x→oo
$$\lim_{x \to 1^-} e^{3 x} = e^{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{3 x} = e^{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{3 x} = 0$$
More at x→-oo
The graph