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a
n∈2,∞
b
n∈−∞,2
c
n∈−1,1
d
None of these
answer is B.
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Detailed Solution
Since 02, bothsinnx and cosnx will decrease and hence sinnx +cosnx<1When n<2,both sinnx and cosnx will increase andhence sinnx+cosnx≥1 for n≤2Thus sinnx+cosnx≥1 for n≤2