Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-cos(5*x)+cos(3*x))/x^2
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Limit of (-12+x+x^2)/(-9+x^2)
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Limit of (2+x^2+3*x)/(3+x^2+4*x)
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Limit of -e^(-x)
- Graphing y =:
- 5-x
- Derivative of:
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5-x
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Identical expressions
- five -x
- 5 minus x
- five minus x
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Similar expressions
- x*5^(-x^2)
- 5+x
Limit of the function 5-x
The solution
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
$$\lim_{x \to 2^-}\left(5 - x\right) = 3$$
More at x→2 from the left
$$\lim_{x \to 2^+}\left(5 - x\right) = 3$$
$$\lim_{x \to \infty}\left(5 - x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(5 - x\right) = 5$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(5 - x\right) = 5$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(5 - x\right) = 4$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(5 - x\right) = 4$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(5 - x\right) = \infty$$
More at x→-oo
More at x→2 from the left
$$\lim_{x \to 2^+}\left(5 - x\right) = 3$$
$$\lim_{x \to \infty}\left(5 - x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(5 - x\right) = 5$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(5 - x\right) = 5$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(5 - x\right) = 4$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(5 - x\right) = 4$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(5 - x\right) = \infty$$
More at x→-oo
One‐sided limits
[src]
lim (5 - x) x->2+
$$\lim_{x \to 2^+}\left(5 - x\right)$$
3
$$3$$
= 3.0
lim (5 - x) x->2-
$$\lim_{x \to 2^-}\left(5 - x\right)$$
3
$$3$$
= 3.0
= 3.0
The graph