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Q 1 ) limx---->∞ (√ x √ x + √x  -  √ x )

Q 2) limx---->∞  x3/2 √ x3 + 1   -  √ x3 - 1

ans : 1

Q 3)  limx---->∞   1/ 1-n4 + 8 / 1-n4 + ........... + n3 / 1-n4

ans: - 1 / 4


3 years ago


Answers : (2)


the answer is infinity

3 years ago

Ans 3.

(1+ 8 + 27 + ... + n3)/1-n

Since 13+23+33+...+n3 = (n(n+1))2/4   then

the expression becomes  (n(n+1))2/4(1-n4)

= ((n)2(n+1)2)/4(1-n4)

dividing the whole expression ny n4 . Now the expression is 


= No since n->infinity 1/n tends to 0 thus byu using direct substitutions 

= 1/-4 =-1/4

3 years ago

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