Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (26-18*x^5+24*x^4)/(1-x^4-24*x^5-14*x^2+15*x+25*x^3)
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Limit of (8-5*x+12*x^3)/(-5-4*x^2+4*x^3)
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Limit of (1+2*sin(x))^(3/x)
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Limit of ((7+x)/(-9+x))^(2*x)
- Plot:
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x^3-y^2
- Factor polynomial:
- x^3-y^2
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Identical expressions
- x^ three -y^ two
- x cubed minus y squared
- x to the power of three minus y to the power of two
- x3-y2
- x³-y²
- x to the power of 3-y to the power of 2
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Similar expressions
- x^3+y^2
Limit of the function x^3-y^2
The solution
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[src]
/ 3 2\ lim \x - y / x->1+
$$\lim_{x \to 1^+}\left(x^{3} - y^{2}\right)$$
Limit(x^3 - y^2, x, 1)
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
One‐sided limits
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/ 3 2\ lim \x - y / x->1+
$$\lim_{x \to 1^+}\left(x^{3} - y^{2}\right)$$
2 1 - y
$$1 - y^{2}$$
/ 3 2\ lim \x - y / x->1-
$$\lim_{x \to 1^-}\left(x^{3} - y^{2}\right)$$
2 1 - y
$$1 - y^{2}$$
1 - y^2
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-}\left(x^{3} - y^{2}\right) = 1 - y^{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} - y^{2}\right) = 1 - y^{2}$$
$$\lim_{x \to \infty}\left(x^{3} - y^{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x^{3} - y^{2}\right) = - y^{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} - y^{2}\right) = - y^{2}$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(x^{3} - y^{2}\right) = -\infty$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} - y^{2}\right) = 1 - y^{2}$$
$$\lim_{x \to \infty}\left(x^{3} - y^{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x^{3} - y^{2}\right) = - y^{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} - y^{2}\right) = - y^{2}$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(x^{3} - y^{2}\right) = -\infty$$
More at x→-oo