Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 10+x^2+3*x^3+8*x
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Limit of (-16+2^x)/(-1+5*sqrt(x)*(5-x))
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Limit of (-4+x^2)/(-3+sqrt(1-4*x))
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Limit of ((1+x)/(-2+x))^(3+x)
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Identical expressions
- five + two *x+ three *x^ two
- 5 plus 2 multiply by x plus 3 multiply by x squared
- five plus two multiply by x plus three multiply by x to the power of two
- 5+2*x+3*x2
- 5+2*x+3*x²
- 5+2*x+3*x to the power of 2
- 5+2x+3x^2
- 5+2x+3x2
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Similar expressions
- 5-2*x+3*x^2
- 5+2*x-3*x^2
Limit of the function 5+2*x+3*x^2
The solution
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[src]
/ 2\ lim \5 + 2*x + 3*x / x->-2+
$$\lim_{x \to -2^+}\left(3 x^{2} + \left(2 x + 5\right)\right)$$
Limit(5 + 2*x + 3*x^2, x, -2)
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
One‐sided limits
[src]
/ 2\ lim \5 + 2*x + 3*x / x->-2+
$$\lim_{x \to -2^+}\left(3 x^{2} + \left(2 x + 5\right)\right)$$
13
$$13$$
= 13.0
/ 2\ lim \5 + 2*x + 3*x / x->-2-
$$\lim_{x \to -2^-}\left(3 x^{2} + \left(2 x + 5\right)\right)$$
13
$$13$$
= 13.0
= 13.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -2^-}\left(3 x^{2} + \left(2 x + 5\right)\right) = 13$$
More at x→-2 from the left
$$\lim_{x \to -2^+}\left(3 x^{2} + \left(2 x + 5\right)\right) = 13$$
$$\lim_{x \to \infty}\left(3 x^{2} + \left(2 x + 5\right)\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(3 x^{2} + \left(2 x + 5\right)\right) = 5$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(3 x^{2} + \left(2 x + 5\right)\right) = 5$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(3 x^{2} + \left(2 x + 5\right)\right) = 10$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(3 x^{2} + \left(2 x + 5\right)\right) = 10$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(3 x^{2} + \left(2 x + 5\right)\right) = \infty$$
More at x→-oo
More at x→-2 from the left
$$\lim_{x \to -2^+}\left(3 x^{2} + \left(2 x + 5\right)\right) = 13$$
$$\lim_{x \to \infty}\left(3 x^{2} + \left(2 x + 5\right)\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(3 x^{2} + \left(2 x + 5\right)\right) = 5$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(3 x^{2} + \left(2 x + 5\right)\right) = 5$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(3 x^{2} + \left(2 x + 5\right)\right) = 10$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(3 x^{2} + \left(2 x + 5\right)\right) = 10$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(3 x^{2} + \left(2 x + 5\right)\right) = \infty$$
More at x→-oo
The graph