Mister Exam
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- Limit of the function:
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Limit of -2+x^3+6*x
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Limit of ((-2+x)/x)^(2*x)
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Limit of (-2+x)*log(-2+x)
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Limit of -6+x^2+5*x
- Graphing y =:
- -2+x^3+6*x
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Identical expressions
- - two +x^ three + six *x
- minus 2 plus x cubed plus 6 multiply by x
- minus two plus x to the power of three plus six multiply by x
- -2+x3+6*x
- -2+x³+6*x
- -2+x to the power of 3+6*x
- -2+x^3+6x
- -2+x3+6x
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Similar expressions
- 2+x^3+6*x
- -2-x^3+6*x
- -2+x^3-6*x
Limit of the function -2+x^3+6*x
The solution
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[src]
/ 3 \ lim \-2 + x + 6*x/ x->3+
$$\lim_{x \to 3^+}\left(6 x + \left(x^{3} - 2\right)\right)$$
Limit(-2 + x^3 + 6*x, x, 3)
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]
/ 3 \ lim \-2 + x + 6*x/ x->3+
$$\lim_{x \to 3^+}\left(6 x + \left(x^{3} - 2\right)\right)$$
43
$$43$$
= 43.0
/ 3 \ lim \-2 + x + 6*x/ x->3-
$$\lim_{x \to 3^-}\left(6 x + \left(x^{3} - 2\right)\right)$$
43
$$43$$
= 43.0
= 43.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 3^-}\left(6 x + \left(x^{3} - 2\right)\right) = 43$$
More at x→3 from the left
$$\lim_{x \to 3^+}\left(6 x + \left(x^{3} - 2\right)\right) = 43$$
$$\lim_{x \to \infty}\left(6 x + \left(x^{3} - 2\right)\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(6 x + \left(x^{3} - 2\right)\right) = -2$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(6 x + \left(x^{3} - 2\right)\right) = -2$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(6 x + \left(x^{3} - 2\right)\right) = 5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(6 x + \left(x^{3} - 2\right)\right) = 5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(6 x + \left(x^{3} - 2\right)\right) = -\infty$$
More at x→-oo
More at x→3 from the left
$$\lim_{x \to 3^+}\left(6 x + \left(x^{3} - 2\right)\right) = 43$$
$$\lim_{x \to \infty}\left(6 x + \left(x^{3} - 2\right)\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(6 x + \left(x^{3} - 2\right)\right) = -2$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(6 x + \left(x^{3} - 2\right)\right) = -2$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(6 x + \left(x^{3} - 2\right)\right) = 5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(6 x + \left(x^{3} - 2\right)\right) = 5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(6 x + \left(x^{3} - 2\right)\right) = -\infty$$
More at x→-oo
The graph