Ashwin Muralidharan IIT Madras
Last Activity: 13 Years ago
Hi Menka,
lim x→∞ x[√(2-3/x2) - √2]
lim x→∞ x [(2-3/x2 - 2)/(√(2-3/x2)+√2)] ------------- {Multiplying Nr and Dr by the conjugate of the Nr}
lim x→∞ -3/[(x)*(√(2-3/x2)+√2)].
Now this, as x→∞, will tend to 0. {As x is in the Dr}.
Hence the limit of the question is 0.
Hope that helps.
All the Best,
Regards,
Ashwin.