[L(1)=[(1)/(n+1)+(1)/(n+2)+......+(1)/(5...

[L_(1)=[(1)/(n+1)+(1)/(n+2)+......+(1)/(5n)]=],[1,log2quad 2log3quad 3log6quad 4.1095]

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Show that, lim_(n to oo)((1)/(n + 1)+(1)/(n+2)+…+(1)/(6n))=log 6 .

Show that lim_(n rarr oo)((1)/(n+1)+(1)/(n+2)+...+(1)/(6n))=log6

log2+log(1+(1)/(2))+log(1+(1)/(3))+.........+log(1+(1)/(n-1))=

log_(a)(1-(1)/(2))+log_(a)(1-(1)/(3))+......log_(a)(1-(1)/(n))

Show that ("lim")_(nvecoo)(1/(n+1)+1/(n+2)++1/(6n))=log6

Show that ("lim")_(n vec oo)(1/(n+1)+1/(n+2)++1/(6n))=log6

Show that ("lim")_(n vec oo)(1/(n+1)+1/(n+2)++1/(6n))=log6

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