Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of -2+x^3+6*x
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Limit of ((-2+x)/x)^(2*x)
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Limit of (-2+x)*log(-2+x)
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Limit of -6+x^2+5*x
- Derivative of:
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3^(1/x)
- Graphing y =:
- 3^(1/x)
- Integral of d{x}:
- 3^(1/x)
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Identical expressions
- three ^(one /x)
- 3 to the power of (1 divide by x)
- three to the power of (one divide by x)
- 3(1/x)
- 31/x
- 3^1/x
- 3^(1 divide by x)
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Similar expressions
- (x/(1+x)^3)^(1/x)
Limit of the function 3^(1/x)
The solution
You have entered
[src]
x ___ lim \/ 3 x->0+
$$\lim_{x \to 0^+} 3^{\frac{1}{x}}$$
Limit(3^(1/x), x, 0)
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
$$\lim_{x \to 0^-} 3^{\frac{1}{x}} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} 3^{\frac{1}{x}} = \infty$$
$$\lim_{x \to \infty} 3^{\frac{1}{x}} = 1$$
More at x→oo
$$\lim_{x \to 1^-} 3^{\frac{1}{x}} = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+} 3^{\frac{1}{x}} = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty} 3^{\frac{1}{x}} = 1$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} 3^{\frac{1}{x}} = \infty$$
$$\lim_{x \to \infty} 3^{\frac{1}{x}} = 1$$
More at x→oo
$$\lim_{x \to 1^-} 3^{\frac{1}{x}} = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+} 3^{\frac{1}{x}} = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty} 3^{\frac{1}{x}} = 1$$
More at x→-oo
One‐sided limits
[src]
x ___ lim \/ 3 x->0+
$$\lim_{x \to 0^+} 3^{\frac{1}{x}}$$
oo
$$\infty$$
= -1.01208185593281e-74
x ___ lim \/ 3 x->0-
$$\lim_{x \to 0^-} 3^{\frac{1}{x}}$$
0
$$0$$
= 1.11002713424641e-78
= 1.11002713424641e-78
The graph