Calculate this limit using Wolfram Language?

Questions
1

lim(x->0+) (x^(a) log(x))/(log(1 + x^2) (sin(x^2) - sin^2(x)))
a>0

2

If a > 0 :

 Limit[(x^a Log[x])/(Log[1 + x^2] (-Sin[x]^2 + Sin[x^2])), x -> 0, Direction -> "FromAbove", Assumptions -> a > 0]

 (*  ConditionalExpression[0, a > 6] *)

and 0<a\leq 6 then:

 Limit[(x^a Log[x])/(Log[1 + x^2] (-Sin[x]^2 + Sin[x^2])), x -> 0, Direction -> "FromAbove", Assumptions ->0 < a <= 6]

 (*  ConditionalExpression[-\[Infinity], a < 0]  *)