Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3+5*x)/(1+x)
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Limit of (1-cos(6*x))/(x*sin(x))
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Limit of 1/(-1+2*n)
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Limit of x*cot(6*x)
- Graphing y =:
- -x^2+4*x
- Factor polynomial:
- -x^2+4*x
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Identical expressions
- -x^ two + four *x
- minus x squared plus 4 multiply by x
- minus x to the power of two plus four multiply by x
- -x2+4*x
- -x²+4*x
- -x to the power of 2+4*x
- -x^2+4x
- -x2+4x
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Similar expressions
- -x^2-4*x
- (-4-x^2+4*x)/x
- x^2+4*x
Limit of the function -x^2+4*x
The solution
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[src]
/ 2 \ lim \- x + 4*x/ x->-1+
$$\lim_{x \to -1^+}\left(- x^{2} + 4 x\right)$$
Limit(-x^2 + 4*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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -1^-}\left(- x^{2} + 4 x\right) = -5$$
More at x→-1 from the left
$$\lim_{x \to -1^+}\left(- x^{2} + 4 x\right) = -5$$
$$\lim_{x \to \infty}\left(- x^{2} + 4 x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(- x^{2} + 4 x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- x^{2} + 4 x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- x^{2} + 4 x\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- x^{2} + 4 x\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- x^{2} + 4 x\right) = -\infty$$
More at x→-oo
More at x→-1 from the left
$$\lim_{x \to -1^+}\left(- x^{2} + 4 x\right) = -5$$
$$\lim_{x \to \infty}\left(- x^{2} + 4 x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(- x^{2} + 4 x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- x^{2} + 4 x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- x^{2} + 4 x\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- x^{2} + 4 x\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- x^{2} + 4 x\right) = -\infty$$
More at x→-oo
One‐sided limits
[src]
/ 2 \ lim \- x + 4*x/ x->-1+
$$\lim_{x \to -1^+}\left(- x^{2} + 4 x\right)$$
-5
$$-5$$
= -5.0
/ 2 \ lim \- x + 4*x/ x->-1-
$$\lim_{x \to -1^-}\left(- x^{2} + 4 x\right)$$
-5
$$-5$$
= -5.0
= -5.0
The graph