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Deepak Patra posted an Question
May 25, 2021 • 02:24 am
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30 points
30 points
- IIT JAM
- Mathematics (MA)
The sequence (cos (tan(-)* (a) monotone and convergent (b) monotone but not convergent (c) convergent but not monotone (d) neither monotone nor convergent
The sequence (cos (tan(-)* (A) monotone and convergent (B) monotone but not convergent (C) convergent but not monotone (D) neither monotone nor convergent
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Alka gupta![best-answer]()
ans A....
ma'am, cos(-π\4)=1/✓2 but you have written -1/✓2
and I don't understand the last line..i.e how 1/✓2< cos (something)<1??????
yes, cos(-π/4) = 1/√2 ...range of cos is [-1,1] ....we know that 1/√2 <1 so right hand side part I replaced by 1
so that's y I wrote 1/√2 < cos{....} < 1 means sequence is bounbed and monotonic....every bounded monotonic sequence is convergent
thank you ma'am