Mister Exam

Limit of the function 21

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The graph:

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The solution

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 lim 21
x->0+  
limx0+21\lim_{x \to 0^+} 21
Limit(21, x, 0)
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
-1.0-0.8-0.6-0.4-0.21.00.00.20.40.60.821.0021.01
Other limits x→0, -oo, +oo, 1
limx021=21\lim_{x \to 0^-} 21 = 21
More at x→0 from the left
limx0+21=21\lim_{x \to 0^+} 21 = 21
limx21=21\lim_{x \to \infty} 21 = 21
More at x→oo
limx121=21\lim_{x \to 1^-} 21 = 21
More at x→1 from the left
limx1+21=21\lim_{x \to 1^+} 21 = 21
More at x→1 from the right
limx21=21\lim_{x \to -\infty} 21 = 21
More at x→-oo
Rapid solution [src]
21
2121
One‐sided limits [src]
 lim 21
x->0+  
limx0+21\lim_{x \to 0^+} 21
21
2121
= 21
 lim 21
x->0-  
limx021\lim_{x \to 0^-} 21
21
2121
= 21
= 21
Numerical answer [src]
21
21
The graph
Limit of the function 21