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 (x^2-3*x)/(-8+x^2)
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Limit of (1+5*x)*(-1+5*x)
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Limit of (5-3*x^2-2*x)/(3+x+x^2)
- Derivative of:
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4*e^x
- Integral of d{x}:
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4*e^x
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Identical expressions
- four *e^x
- 4 multiply by e to the power of x
- four multiply by e to the power of x
- 4*ex
- 4e^x
- 4ex
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Similar expressions
- (-1-4*x^3+4*e^(x^3))/x^6
Limit of the function 4*e^x
The solution
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[src]
/ x\ lim \4*E / x->4+
$$\lim_{x \to 4^+}\left(4 e^{x}\right)$$
Limit(4*E^x, x, 4)
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 \4*E / x->4+
$$\lim_{x \to 4^+}\left(4 e^{x}\right)$$
4 4*e
$$4 e^{4}$$
= 218.392600132577
/ x\ lim \4*E / x->4-
$$\lim_{x \to 4^-}\left(4 e^{x}\right)$$
4 4*e
$$4 e^{4}$$
= 218.392600132577
= 218.392600132577
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 4^-}\left(4 e^{x}\right) = 4 e^{4}$$
More at x→4 from the left
$$\lim_{x \to 4^+}\left(4 e^{x}\right) = 4 e^{4}$$
$$\lim_{x \to \infty}\left(4 e^{x}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(4 e^{x}\right) = 4$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(4 e^{x}\right) = 4$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(4 e^{x}\right) = 4 e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(4 e^{x}\right) = 4 e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(4 e^{x}\right) = 0$$
More at x→-oo
More at x→4 from the left
$$\lim_{x \to 4^+}\left(4 e^{x}\right) = 4 e^{4}$$
$$\lim_{x \to \infty}\left(4 e^{x}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(4 e^{x}\right) = 4$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(4 e^{x}\right) = 4$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(4 e^{x}\right) = 4 e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(4 e^{x}\right) = 4 e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(4 e^{x}\right) = 0$$
More at x→-oo
The graph