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Find the set of values of x for which th...

Find the set of values of x for which the binomial expansions of the following are valid.
`(5+x)^(3//2)`

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Find the range of x for which the binomial expansions of the following are valid . (x + 5)^(3//2)

AAKASH SERIES-BINOMIAL THEOREM-SOLVED EXAMPLES
  1. Find the range of x for which the binomial expansion of the following ...

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  2. Find the range of x for which the binomial expansion of the following ...

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  3. Find the set of values of x for which the binomial expansions of the f...

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  4. Find the set of values of x for which the binomial expansions of the f...

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  5. Write down the first three terms in the expansion of (3 + x)^(-3//2)

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  6. Write down the first three terms in the expansion of (4 - 5x)^(-1//2)

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  7. Write down and simplify 5th term in the expansion of (6 + 7x)^(-2)

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  8. Write down and simplify 7th term in the expansion of (2 + 3x)^(-5)

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  9. Prove that : Find the 10^("th")" term of "(1-(3x)/(4))^(4//5)

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  10. Prove that : Find the 8^("th")" term of "(1-(5x)/(2))^(-3//5)

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  11. 6th term of (3 + (2x)/(3))^(3//2)

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  12. Prove that : Write the general term in the expansion of (1-4x)^(-3)

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  13. Write the general term in the expansion of (3 - (5x)/(4))^(-1//2)

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  14. Find the coefficient of x^5 in (3 - 4x)^(-1)

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  15. Find the coefficient of x^4 in (8 - x)^(-1//3)

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  16. Find the coefficient of x^12 in ((1+ 3x))/((1 -4x)^4)

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  17. If |x| is so small that x^4 and higher powers of x many be neglected ,...

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  18. If |x| is so small that x^2 and higher powers of x many be neglected ,...

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  19. If |x| is so small that x^2 and higher powers of x many be neglected ,...

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  20. If x is so small that x^2 and higher powers of x many be neglected , s...

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