Let f"(x) be continuous at x = 0.If limx→0 2f(x)−3af(2x)+bf(8x)sin2⁡x exists and f(0)≠0, f'(0)≠0, then the value of 3a/b is ______.

we have L=limx→0 2f(x)−3af(2x)+bf(8x)sin2⁡xFor the limit to exist, we have2f(0)−3af(0)+bf(0)=0 or  3a−b=2 [∵f(0)≠0, given ]......(1) or L=limx→0 2f′(x)−6af′(2x)+8bf′(8x)2x2-6a+8b=03a-4b=1a=79, b=13