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Prove that : Write the general term in t...

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

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Prove that : Write the general term in the expansion of (2+(3x)/(4))^(4//5)

Write the general term in the expansion of ( x^2- y)^6

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

Find the general term in the expansion of (1- (5x)/(3))^(-3)

Find the general term in the expansion of (4 + 5x)^(-3//2)

Prove that : Write the first 3 terms in the expansion of (3+4x)^(-2//3)

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AAKASH SERIES-BINOMIAL THEOREM-SOLVED EXAMPLES
  1. Prove that : Find the 8^("th")" term of "(1-(5x)/(2))^(-3//5)

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

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

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

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

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

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

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

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

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

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

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

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  13. Find the value of (1.02)^(3//2) - (0.98)^(3//2) correct to 6 decimals ...

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  14. Find the value of root(5)(32.16) correct to 4 decimals places

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  15. Find the value of (627)^(1//4) correct to 4 decimals places

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  16. Show that + 1/4 + (1.3)/(4.8) + (1.3.5)/(4.8.12) + …….= sqrt2

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  17. Show that 1 + 1/2.3/5 + (1.3)/(2.4) (3/5)^2 + (1.3.5)/(2.4.6) (3/5)^3...

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  18. Sho that 3/6 + (3.5)/(6.9) + (3.5.7)/(6.9.12)+ ……..oo 3 sqrt3 - 4

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  19. Show that 1 - 3/4 + (3.5)/(4.8)- (3.5.7)/(4.8.12)+……..sqrt((8/27))

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  20. Show that (4.6)/(5.10) + (4.6.8)/(5.10.15) + (4.6.8.10)/(5.10.15.20) +...

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