Find values of a and b such that the given limit is true.

Question

limit of as a approaches 0 x^2sin(1/x)/b-cos(ax)=2

Answer 1

No, A and B are fixed constants and x approaches zero.

Otherwise, A would be the variable as it approaches zero, which does not make any sense.

the denominator becomes b-1 as x tends to zero.

0 < sin(1/x)*x^2 < x^2, since 0 < sine < 1 for positive x

By squeeze theorem, this limit is zero.