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


 

2 years ago

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Answers : (2)

                                        

the answer is infinity

2 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 


=(1)(1+1/n2))/4(1/n4-1)


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


= 1/-4 =-1/4


2 years ago

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