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
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Identical expressions
- - six +x^ two + five *x
- minus 6 plus x squared plus 5 multiply by x
- minus six plus x to the power of two plus five multiply by x
- -6+x2+5*x
- -6+x²+5*x
- -6+x to the power of 2+5*x
- -6+x^2+5x
- -6+x2+5x
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Similar expressions
- -6+x^2-5*x
- 6+x^2+5*x
- -6-x^2+5*x
Limit of the function -6+x^2+5*x
The solution
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/ 2 \ lim \-6 + x + 5*x/ x->1+
$$\lim_{x \to 1^+}\left(5 x + \left(x^{2} - 6\right)\right)$$
Limit(-6 + x^2 + 5*x, 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
The graph
One‐sided limits
[src]
/ 2 \ lim \-6 + x + 5*x/ x->1+
$$\lim_{x \to 1^+}\left(5 x + \left(x^{2} - 6\right)\right)$$
0
$$0$$
= -3.69358319535541e-32
/ 2 \ lim \-6 + x + 5*x/ x->1-
$$\lim_{x \to 1^-}\left(5 x + \left(x^{2} - 6\right)\right)$$
0
$$0$$
= -1.56725328036621e-31
= -1.56725328036621e-31
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-}\left(5 x + \left(x^{2} - 6\right)\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(5 x + \left(x^{2} - 6\right)\right) = 0$$
$$\lim_{x \to \infty}\left(5 x + \left(x^{2} - 6\right)\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(5 x + \left(x^{2} - 6\right)\right) = -6$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(5 x + \left(x^{2} - 6\right)\right) = -6$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(5 x + \left(x^{2} - 6\right)\right) = \infty$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+}\left(5 x + \left(x^{2} - 6\right)\right) = 0$$
$$\lim_{x \to \infty}\left(5 x + \left(x^{2} - 6\right)\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(5 x + \left(x^{2} - 6\right)\right) = -6$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(5 x + \left(x^{2} - 6\right)\right) = -6$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(5 x + \left(x^{2} - 6\right)\right) = \infty$$
More at x→-oo
The graph