Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((-4+3*x)/(2+3*x))^(1+x)/3
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Limit of (-16+2^x)/(-1+5*sqrt(x)*(5-x))
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Limit of (-14+x^2-5*x)/(-6+x+2*x^2)
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Limit of (3+x^2+4*x)/(1+x^3)
- Integral of d{x}:
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x5
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Identical expressions
- x5
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Similar expressions
- cos(3*x)^(5/x^2)
- x^3+x^5
- (x/(-2+x))^(5+6*x)
- x^4-x^5
- (-16+2^x)/(-1+5*sqrt(x)*(5-x))
Limit of the function x5
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 x5→0, -oo, +oo, 1
$$\lim_{x_{5} \to 0^-} x_{5} = 0$$
More at x5→0 from the left
$$\lim_{x_{5} \to 0^+} x_{5} = 0$$
$$\lim_{x_{5} \to \infty} x_{5} = \infty$$
More at x5→oo
$$\lim_{x_{5} \to 1^-} x_{5} = 1$$
More at x5→1 from the left
$$\lim_{x_{5} \to 1^+} x_{5} = 1$$
More at x5→1 from the right
$$\lim_{x_{5} \to -\infty} x_{5} = -\infty$$
More at x5→-oo
More at x5→0 from the left
$$\lim_{x_{5} \to 0^+} x_{5} = 0$$
$$\lim_{x_{5} \to \infty} x_{5} = \infty$$
More at x5→oo
$$\lim_{x_{5} \to 1^-} x_{5} = 1$$
More at x5→1 from the left
$$\lim_{x_{5} \to 1^+} x_{5} = 1$$
More at x5→1 from the right
$$\lim_{x_{5} \to -\infty} x_{5} = -\infty$$
More at x5→-oo
One‐sided limits
[src]
lim x5 x5->0+
$$\lim_{x_{5} \to 0^+} x_{5}$$
0
$$0$$
= 8.5563925773619e-33
lim x5 x5->0-
$$\lim_{x_{5} \to 0^-} x_{5}$$
0
$$0$$
= -8.5563925773619e-33
= -8.5563925773619e-33
The graph