Question

Find a so the function be continuous Function

Answer 1

The limit as x approaches 1 from either side should match, so that

$\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1}(-2x+a)=a-2$

$\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1}x=1$

==>   a - 2 = 1   ==>   a = 3