Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+2*n)/(-1+3*n)
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Limit of -2+x^3+6*x
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Limit of (2+x^2-3*x)/(4+x^2-5*x)
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Limit of (-15+x^2-2*x)/(-15-7*x+2*x^2)
- Derivative of:
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e^x-x^2
- Factor polynomial:
- e^x-x^2
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Identical expressions
- e^x-x^ two
- e to the power of x minus x squared
- e to the power of x minus x to the power of two
- ex-x2
- e^x-x²
- e to the power of x-x to the power of 2
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Similar expressions
- e^x+x^2
Limit of the function e^x-x^2
The solution
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/ x 2\ lim \E - x / x->oo
$$\lim_{x \to \infty}\left(e^{x} - x^{2}\right)$$
Limit(E^x - 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
$$\lim_{x \to \infty}\left(e^{x} - x^{2}\right) = \infty$$
$$\lim_{x \to 0^-}\left(e^{x} - x^{2}\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{x} - x^{2}\right) = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{x} - x^{2}\right) = -1 + e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{x} - x^{2}\right) = -1 + e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{x} - x^{2}\right) = -\infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(e^{x} - x^{2}\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{x} - x^{2}\right) = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{x} - x^{2}\right) = -1 + e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{x} - x^{2}\right) = -1 + e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{x} - x^{2}\right) = -\infty$$
More at x→-oo
The graph