Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
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
?
the answer is infinity
Ans 3.
(1+ 8 + 27 + ... + n3)/1-n4
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
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !