If x is so small that x3 and higher powers of x may be neglected, then (1+x )^3/2-(1+ 12x)^3 (1-x )^1/2 may be approximated as :

Question

Accepted Answer

Correct answer: B. (b) (1+x )^3/2-(1+ 12x)^3 (1-x )^1/2⇒ (1+ 32x+ 32 . 12 x^22 !) –(1+ 3x2+ 3.22 . x^24) (1 –x )^1/2 = ( – 38x^2 ) (1 – x)–1/2 = – 38 x2

$If x is so small that x3 and higher powers of x may be neglected, then \frac{( 1 + x ) ^{3/2} - ( 1 + \frac{1}{2} x ) ^{3}}{( 1 - x ) ^{1/2}} may be approximated as :$

Solution

More Binomial Theorem PYQs