Statement -I : underset(xrarroo)"lim"(1^...

Statement -I : `underset(xrarroo)"lim"(1^(2)/(x^(3))+(2^(2))/(x^(3))+3^(2)/(x^(3))+......+x^(2)/(x^(3)))= underset(xrarroo)"lim"(1^(2))/(x^(3))+underset(xrarroo)"lim"(2^(2))/(x^(3))+....+underset(xrarroo)"lim"(x^(2))/(x^(3))=0`
Statement - II : `underset(xrarra)"lim"{f_(1)(x)+f_(2)(x)+....+f_(n)(x)}=underset(xrarra)"lim"f_(1)(x)+underset(xrarra)"lim"f_(2)(x)+...+underset(xrarra)"lim"f_(n)(x)" `

Statement -I is true , Statement -II is true and Statement-II is a correct explanation for Statement - I .

Statement -I is true , Statement -II is true but Statement -II is is not a correct explantion of Statement -I .

Statement -I is true , Statement - II is false .

Statement - I is false , Statement -II is true .

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The correct Answer is:

LIMIT
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underset(xrarr0)"lim"(a^(2x)-1)/(x) =

`log_(e)a`

`2log_(e)a`

`-2log_(e)a`

`-log_(e)a`

`(1)/(2)`

`-(3)/(2)`

`(3)/(2)`

`-(1)/(2)`