Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-2+x^2-x)/(-2+x+3*x^2)
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Limit of (-1+x)/(x+x^2)
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Limit of (-tan(x)+sin(x))/x
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Limit of 3-sqrt(n)+sqrt(3)*sqrt(n)
- Graphing y =:
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2^(x^2)
- Integral of d{x}:
- 2^(x^2)
- Derivative of:
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2^(x^2)
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Identical expressions
- two ^(x^ two)
- 2 to the power of (x squared )
- two to the power of (x to the power of two)
- 2(x2)
- 2x2
- 2^(x²)
- 2 to the power of (x to the power of 2)
- 2^x^2
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Similar expressions
- 1+(x^(-2)+x^2)^(x^2)
- (1-5/x^2)^(x^2)
- (1+2*x^2)^(x^2/3)
- (5/x^2)^(x^2)
- (x^2+y^2)^(x^2*y^2)
Limit of the function 2^(x^2)
The solution
You have entered
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/ 2\
\x /
lim 2
x->oo
$$\lim_{x \to \infty} 2^{x^{2}}$$
Limit(2^(x^2), 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
$$\lim_{x \to \infty} 2^{x^{2}} = \infty$$
$$\lim_{x \to 0^-} 2^{x^{2}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} 2^{x^{2}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} 2^{x^{2}} = 2$$
More at x→1 from the left
$$\lim_{x \to 1^+} 2^{x^{2}} = 2$$
More at x→1 from the right
$$\lim_{x \to -\infty} 2^{x^{2}} = \infty$$
More at x→-oo
$$\lim_{x \to 0^-} 2^{x^{2}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} 2^{x^{2}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} 2^{x^{2}} = 2$$
More at x→1 from the left
$$\lim_{x \to 1^+} 2^{x^{2}} = 2$$
More at x→1 from the right
$$\lim_{x \to -\infty} 2^{x^{2}} = \infty$$
More at x→-oo
The graph