Determine the value of the constant c that makes this piecewise-defined function continuous:?

|x| / (x^2 -x) when x%26lt;0





2e^x + c when x %26gt; or equal to 0

Determine the value of the constant c that makes this piecewise-defined function continuous:?
c = 3/2...on the left you really have -x/[x(x-2)]= -1/[x-2] which tends to 1/2 as x tends to 0...on the right ,as tends to 0 , is 2 + c