Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 1-cos(3*x)
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Limit of ((6+5*x)/(-1+5*x))^((1+2*x^2)/x)
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Limit of (-3*5^(1+x)+5*2^x)/(2*5^x+100*2^x)
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Limit of (4^x-9^x)/(4^(1+x)+9^(1+x))
- Graphing y =:
- -x^2-2*x
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Identical expressions
- -x^ two - two *x
- minus x squared minus 2 multiply by x
- minus x to the power of two minus two multiply by x
- -x2-2*x
- -x²-2*x
- -x to the power of 2-2*x
- -x^2-2x
- -x2-2x
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Similar expressions
- -x^2+2*x
- x^2-2*x
Limit of the function -x^2-2*x
The solution
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/ 2 \ lim \- x - 2*x/ x->10+
$$\lim_{x \to 10^+}\left(- x^{2} - 2 x\right)$$
Limit(-x^2 - 2*x, x, 10)
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 \- x - 2*x/ x->10+
$$\lim_{x \to 10^+}\left(- x^{2} - 2 x\right)$$
-120
$$-120$$
= -120.0
/ 2 \ lim \- x - 2*x/ x->10-
$$\lim_{x \to 10^-}\left(- x^{2} - 2 x\right)$$
-120
$$-120$$
= -120.0
= -120.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 10^-}\left(- x^{2} - 2 x\right) = -120$$
More at x→10 from the left
$$\lim_{x \to 10^+}\left(- x^{2} - 2 x\right) = -120$$
$$\lim_{x \to \infty}\left(- x^{2} - 2 x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(- x^{2} - 2 x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- x^{2} - 2 x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- x^{2} - 2 x\right) = -3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- x^{2} - 2 x\right) = -3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- x^{2} - 2 x\right) = -\infty$$
More at x→-oo
More at x→10 from the left
$$\lim_{x \to 10^+}\left(- x^{2} - 2 x\right) = -120$$
$$\lim_{x \to \infty}\left(- x^{2} - 2 x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(- x^{2} - 2 x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- x^{2} - 2 x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- x^{2} - 2 x\right) = -3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- x^{2} - 2 x\right) = -3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- x^{2} - 2 x\right) = -\infty$$
More at x→-oo
The graph