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lim(n->oo)(1/(1. 4)+1/(4. 7)++1/((3n-2)(...

`lim_(n->oo)(1/(1. 4)+1/(4. 7)++1/((3n-2)(3n+1)))`

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lim_(n rarr oo)((1)/(1.4)+(1)/(4.7)++(1)/((3n-2)(3n+1))))

lim_(n rarr oo) ((1)/(1.2) + (1)/(2.3) + (1)/(3.4) +…..+ (1)/(n(n+1))) is :

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underset(n to oo)lim {(1)/(1.4)+(1)/(4.7)+(1)/(7.10)+....+(1)/((3n-2)(3n+1))}=

lim_(n to oo) {(1)/(n)+(1)/(n+1)+(1)/(n+2)+...+(1)/(3n)}=