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+3*x)/(2+2*x^2+5*x)
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Limit of (-51+x^2-14*x)/(-21+x^2-4*x)
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Limit of -sec(x)+tan(x)
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Limit of tan(3*x)/(4*x)
- Integral of d{x}:
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e^(sqrt(x))
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Identical expressions
- e^(sqrt(x))
- e to the power of ( square root of (x))
- e^(√(x))
- e(sqrt(x))
- esqrtx
- e^sqrtx
Limit of the function e^(sqrt(x))
The solution
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\/ x
lim E
x->oo
$$\lim_{x \to \infty} e^{\sqrt{x}}$$
Limit(E^(sqrt(x)), 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
$$\lim_{x \to \infty} e^{\sqrt{x}} = \infty$$
$$\lim_{x \to 0^-} e^{\sqrt{x}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{\sqrt{x}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{\sqrt{x}} = e$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{\sqrt{x}} = e$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{\sqrt{x}}$$
More at x→-oo
$$\lim_{x \to 0^-} e^{\sqrt{x}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{\sqrt{x}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{\sqrt{x}} = e$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{\sqrt{x}} = e$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{\sqrt{x}}$$
More at x→-oo
The graph