Mathematics Q.1

Let \( (a,b) \) be the outcome of throwing a pair of fair dice. What is the probability for which \[ \lim_{ x\rightarrow 0 }\frac { { \ln { \left( { \left( \cos { \left( x \right) } \right) }^{ a } \right) } } }{ { x }^{ b } } \] exists and is finite?

  • Answer upto 3 Decimal Places.
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