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If 0 lt a lt b, " then " lim(n to oo) (a...

If `0 lt a lt b, " then " lim_(n to oo) (a^(n)+b^(n))/(a^(n)-b^(n))`

A

equals 0

B

equals -1

C

equals 1

D

doest not exist

Text Solution

Verified by Experts

The correct Answer is:
B
`lim_(n to oo) (a^(n)+b^(n))/(a^(n)-b^(n))=lim_(n to oo) (((a)/(b))^(n)+1)/(((a)/(b))^(n)-1)=-1`
`["since", 0 lt (a)/(b) lt 1 "implies"((a)/(b))^(n) to 0 " as " n to oo ]`
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