Advertisements
Advertisements
प्रश्न
Answer the following:
State, first four terms in the expansion of `(1 - x)^(-1/4)`
Advertisements
उत्तर
`(1 - x)^(-1/4) = 1- (-1/4)x + ((-1/4)(-1/4 - 1))/(2!) x^2 - ((-1/4)(-1/4 - 1)(-1/4 - 2))/(3!) x^3 + ...`
= `1 + x/4 + (-1/4)(-5/4)(1/2)x^2 - (-1/4)(-5/4)(-9/4)(1/6)x^3 + ...`
= `1 + x/4 + (5x^2)/32 + (15x^3)/128 + ...`
APPEARS IN
संबंधित प्रश्न
In the following expansion, find the indicated term.
`((4x)/5 - 5/(2x))^9`, 7th term
In the following expansion, find the indicated term.
`(1/3 + "a"^2)^12`, 9th term
Find the constant term (term independent of x) in the expansion of `(x - 2/x^2)^15`
Find the constant term (term independent of x) in the expansion of `(sqrt(x) - 3/x^2)^10`
Find the constant term (term independent of x) in the expansion of `(x^2 - 1/x)^9`
Find the constant term (term independent of x) in the expansion of `(2x^2 - 5/x)^9`
In the expansion of (k + x)8, the coefficient of x5 is 10 times the coefficient of x6. Find the value of k.
The coefficient of x2 in the expansion of (1 + 2x)m is 112. Find m
Select the correct answer from the given alternatives.
The total number of terms in the expression of (x + y)100 + (x − y)100 after simplification is:
Answer the following:
Find third term in the expansion of `(9x^2 - y^3/6)^4`
Answer the following:
Find tenth term in the expansion of `(2x^2 + 1/x)^12`
Find the coefficients of x6 in the expansion of `(3x^2 - 1/(3x))^9`.
Find the coefficients of x60 in the expansion of `(1/x^2 + x^4)^18`
Answer the following:
Find the constant term in the expansion of `((4x^2)/3 + 3/(2x))^9`
Answer the following
Find the constant term in the expansion of `(2x^2 - 1/x)^12`
Answer the following:
If the coefficient of x2 and x3 in the expansion of (3 + kx)9 are equal, find k
Answer the following:
If the constant term in the expansion of `(x^3 + "k"/x^8)^11` is 1320, find k
Answer the following:
Show that there is no term containing x6 in the expansion of `(x^2 - 3/x)^11`
Answer the following:
Show that there is no constant term in the expansion of `(2x - x^2/4)^9`
Answer the following:
State, first four terms in the expansion of `(1 - (2x)/3)^(-1/2)`
Answer the following:
State, first three terms in the expansion of `(5 + 4x) ^(-1/2)`
Answer the following:
(a + bx) (1 − x)6 = 3 − 20x + cx2 + ..... then find a, b, c
Answer the following:
The 3rd term of (1 + x)n is 36x2. Find 5th term
The greatest value of the term independent of x in the expansion of (x sin p + x–1 cos p)10, p ∈ R is ______.
