Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (5+3*x)/(-5+x)
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Limit of (-9+x^2)/(15+x^2-8*x)
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Limit of (-1+x)/log(x)
- Limit of (a+x^2-x*(1+a))/(x^3-a^3)
- Graphing y =:
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exp(x^2)
- Derivative of:
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exp(x^2)
- Integral of d{x}:
- exp(x^2)
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Identical expressions
- exp(x^ two)
- exponent of (x squared )
- exponent of (x to the power of two)
- exp(x2)
- expx2
- exp(x²)
- exp(x to the power of 2)
- expx^2
Limit of the function exp(x^2)
The solution
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lim e
x->oo
$$\lim_{x \to \infty} e^{x^{2}}$$
Limit(exp(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
$$\lim_{x \to \infty} e^{x^{2}} = \infty$$
$$\lim_{x \to 0^-} e^{x^{2}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{x^{2}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{x^{2}} = e$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{x^{2}} = e$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{x^{2}} = \infty$$
More at x→-oo
$$\lim_{x \to 0^-} e^{x^{2}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{x^{2}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{x^{2}} = e$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{x^{2}} = e$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{x^{2}} = \infty$$
More at x→-oo
The graph