If x is so small that x^ 3 and higher powers of x may be neglected, then (1+x)^ 3 / 2 …
Mathematics · JEE Main · NTA Exams — Binomial Theorem And Its Simple Applications
If x is so small that \(x^{3}\) and higher powers of x may be neglected, then \[\frac{(1+x)^{3 / 2}-\left(1+\frac{1}{2} x\right)^{3}}{(1-x)^{1 / 2}}\] may be approximated as
- \(3 x+\frac{3}{8} x^{2}\)
- \(1-\frac{3}{8} x^{2}\)
- \(\frac{x}{2}-\frac{3}{8} x^{2}\)
- \(-\frac{3}{8} x^{2}\)
Answer
(D) - 3 8 x^ 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The total number of irrational terms in the binomial expansion of (7^ 1 / 5 -3^ 1 / 16 )^ 61 is:
- If the sum of the coefficients in the expansion of (1+2 x)^ n is 6561, then the greatest term in the…
- Let (x+10)^ 5 +(x-10)^ 5 a =a_ a +a_ 1 x+a_ 2 x^ 2 + +a_ 5 a x^ 5 a , for all x R; then a_ 2 a_ n is equal to:
- Given below are two statements. STATEMENT - 1: _ r=n ^ n 1 r+1 ^ n C_ r x ^ r = 1 (n+1) x (1+ x )^ n+1 -1…
- In the expansion of (1 + x) 50 , the sum of the coefficient of odd powers of x is
- If the fourth term in the binomial expansion of ( 1 x^ 1+ g 10^ x +x^ 1 12 )^ 6 is equal to 200, and x > 1…
- The coefficient of x^ 5 in (1+2 x+3 x^ 2 + )^ - 3 2 is
- If n+1 C 4 = 9 n C 2 , then n =
More Binomial Theorem And Its Simple Applications questions · Browse all practice questions