Determining the unknown constant? Let Determine a v ? alue of? (if possible) for ? which f ? ?(1) exists.

SOLUTION STEP 1 The given function is We have to determine the value of a such that f(1)exists. This implies that the left hand and the right hand derivatives are equal for f(1); ie, f+(1) = f (1) Therefore f(1+h)f(1) f(1+h)f(1) lim + h = lim h h0 h0 2 2 2 lim a(1+h)22(1= lim 2(1+h) 2(1) + h h h0 h0 a+ah4 2(1+h +2h)2 lim h = lim h h0+ h0 2 lim a+ah4=...