Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-3*x^2+2*x^3)/(x^3+2*x+4*x^2)
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Limit of (-4-7*x+2*x^2)/(4-13*x+3*x^2)
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Limit of 5+3*n
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Limit of (-12+x^2-4*x)/(48+x^2-14*x)
- Integral of d{x}:
- x+2*y
- x+2*y
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Identical expressions
- x+ two *y
- x plus 2 multiply by y
- x plus two multiply by y
- x+2y
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Similar expressions
- (x+2^y)^x+y^2*asin(x)
- x-2*y
Limit of the function x+2*y
The solution
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lim (x + 2*y) x->0+
$$\lim_{x \to 0^+}\left(x + 2 y\right)$$
Limit(x + 2*y, x, 0)
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(x + 2 y\right) = 2 y$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + 2 y\right) = 2 y$$
$$\lim_{x \to \infty}\left(x + 2 y\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x + 2 y\right) = 2 y + 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + 2 y\right) = 2 y + 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + 2 y\right) = -\infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + 2 y\right) = 2 y$$
$$\lim_{x \to \infty}\left(x + 2 y\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x + 2 y\right) = 2 y + 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + 2 y\right) = 2 y + 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + 2 y\right) = -\infty$$
More at x→-oo
One‐sided limits
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lim (x + 2*y) x->0+
$$\lim_{x \to 0^+}\left(x + 2 y\right)$$
2*y
$$2 y$$
lim (x + 2*y) x->0-
$$\lim_{x \to 0^-}\left(x + 2 y\right)$$
2*y
$$2 y$$
2*y