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)
- Graphing y =:
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pi+x
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Identical expressions
- pi+x
- Pi plus x
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Similar expressions
- pi-x
Limit of the function pi+x
The solution
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[src]
lim (pi + x) x->-pi+
$$\lim_{x \to - \pi^+}\left(x + \pi\right)$$
Limit(pi + x, x, -pi)
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
$$\lim_{x \to - \pi^-}\left(x + \pi\right) = 0$$
More at x→-pi from the left
$$\lim_{x \to - \pi^+}\left(x + \pi\right) = 0$$
$$\lim_{x \to \infty}\left(x + \pi\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x + \pi\right) = \pi$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + \pi\right) = \pi$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x + \pi\right) = 1 + \pi$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + \pi\right) = 1 + \pi$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + \pi\right) = -\infty$$
More at x→-oo
More at x→-pi from the left
$$\lim_{x \to - \pi^+}\left(x + \pi\right) = 0$$
$$\lim_{x \to \infty}\left(x + \pi\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x + \pi\right) = \pi$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + \pi\right) = \pi$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x + \pi\right) = 1 + \pi$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + \pi\right) = 1 + \pi$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + \pi\right) = -\infty$$
More at x→-oo
One‐sided limits
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lim (pi + x) x->-pi+
$$\lim_{x \to - \pi^+}\left(x + \pi\right)$$
0
$$0$$
= 1.22464679914735e-16
lim (pi + x) x->-pi-
$$\lim_{x \to - \pi^-}\left(x + \pi\right)$$
0
$$0$$
= 1.22464679914735e-16
= 1.22464679914735e-16
The graph