1.

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

Answer»

The function is continuous at x=1 if lim x→1 ​ f(x)=f(1) 

L.H.S=lim x→1 ​ f(x) 

=lim x→1 ​ (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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