Asked by Ree
Find the set of points that the following function is continuous at them.
f(x)= { √(5-x) -2 if x < 1 , (2x-1 + In(x)) / (x-25) if x>1, -1/24 if x=0
f(x)= { √(5-x) -2 if x < 1 , (2x-1 + In(x)) / (x-25) if x>1, -1/24 if x=0
Answers
Answered by
Steve
√(5-x) is defined for x<5
so, using x<1 works there
lnx is defined for x>0
so, x>1 works there
except where x=25
So, f(x) is defined and continuous on
(-∞,1)U(0)U(1,25)U(25,∞)
so, using x<1 works there
lnx is defined for x>0
so, x>1 works there
except where x=25
So, f(x) is defined and continuous on
(-∞,1)U(0)U(1,25)U(25,∞)
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