Teaching AWES Army Public School TGT Mock Test 2024 Mathematics Limit and Continuity Evaluation of Limits
If x is a real number in [0, 1] then the value of \(\rm Limit_{m\rightarrow \infty}Limit_{n\rightarrow \infty}[1+\cos ^{2m}(n!\pi x)]\) is given by
1
1 or 2 according as x is rational or irrational
2
2 or 1 according as x is rational or irrational
3
1 for all x
4
2 for all x