CBSE Class 12-science Answered
examine the continuity of the function f(x)=x square +5 at x=1
Asked by Rashmi gondi | 21 Dec, 2013, 06:58: PM
Expert Answer
The function 
is continuous at x=1 if it is defiined at x=1.
is continuous at x=1 if it is defiined at x=1.Also the LHL f(x) at x=1 = RHL of f(x) at x= 1 = f(1) if f is continuous at x=1.
Now let us find the left hand limit:
Similarly, let us find the right hand limit of the given function:
And we have, 
Since the right hand limit, left hand limit and f(1) are equal to 6 and it is finite, the function
is continuous at x = 1
Answered by Vimala Ramamurthy | 22 Dec, 2013, 02:25: PM
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