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Question

Check the continuity of the function f given by f(x)=2x+3 at x=1

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Solution

The function is continuous at x=1 if limx1f(x)=f(1)

L.H.S=limx1f(x)

=limx1(2x+3)=2×1+3=2+3=5

R.H.S=f(1)=2×1+3=2+3=5

Since L.H.S=R.H.S

the function is continuous.

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