Mister Exam

Limit of the function 5-x

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The solution

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 lim (5 - x)
x->2+       
$$\lim_{x \to 2^+}\left(5 - x\right)$$
Limit(5 - x, x, 2)
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
Rapid solution [src]
3
$$3$$
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
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
Numerical answer [src]
3.0
3.0
The graph
Limit of the function 5-x