Question

(1 point) Determine whether the sequence nº sin (9) converges or diverges. If it converges, n5 find its limit. If it diverges, enter "infinity", or "-infinity" if applicable, or enter "divergent" if the sequence diverges (but not to foo). The limit is 1

The answer : converges to 1 is incorrect.

Answer 1

Land = ns sin is n=1 we will use squeeze theorem! Squeeze theorem' (Statement) If Land, & badok Cat is sequence such that bukan cu & n. Ebar & scat is convergent and converge to same. init say la lim bu= limca & ho nao then land is also convergent & converge to a such that lim an e no Inequality says. x-x² <sin nex. 3! X> 6 - 6 - ( 2 ) // < sing h5 h 5 n5 multiply by n5 is above inequality n 5 sin 6 - < 6 no 15 fal (but bn It is trivial that 6- 63 6 as 610.31 00 len no sin & a 6 1) no i By using squeeze Remma.