Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((3+2*x)/(7+5*x))^(1+x)
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Limit of (4+x^2-5*x)/(-16+x^2)
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Limit of (5-5*x)/(-1+sqrt(x))
- Limit of (-tan(a)+tan(x))/(x-a)
- Derivative of:
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e^(4*x)
- Integral of d{x}:
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e^(4*x)
- Equation:
- e^(4*x)
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Identical expressions
- e^(four *x)
- e to the power of (4 multiply by x)
- e to the power of (four multiply by x)
- e(4*x)
- e4*x
- e^(4x)
- e(4x)
- e4x
- e^4x
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Similar expressions
- e^(4*x)/(2-5*x-2*x^2)
- (e^(4*x)-e^(2*x))/x
- e^(4*x)*(-1-x+3*x^2)
- (-1+e^(4*x))/sin(2*x)
Limit of the function e^(4*x)
The solution
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4*x lim E x->oo
$$\lim_{x \to \infty} e^{4 x}$$
Limit(E^(4*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
$$\lim_{x \to \infty} e^{4 x} = \infty$$
$$\lim_{x \to 0^-} e^{4 x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{4 x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{4 x} = e^{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{4 x} = e^{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{4 x} = 0$$
More at x→-oo
$$\lim_{x \to 0^-} e^{4 x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{4 x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{4 x} = e^{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{4 x} = e^{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{4 x} = 0$$
More at x→-oo
The graph