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प्रश्न
Simplify first three terms in the expansion of the following
(1 + 2x)–4
उत्तर
(1 + 2x)–4
= `1 + (-4)(2x) + ((-4)(-4 - 1))/(2!)(2x^2) + ......`
= `1 - 8x + ((-4)(-5))/2 (4x^2) + ...`
= 1 – 8x + 40x2 + ......
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संबंधित प्रश्न
State, by writing first four terms, the expansion of the following, where |x| < 1
(1 + x)−4
State, by writing first four terms, the expansion of the following, where |x| < 1
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State, by writing first four terms, the expansion of the following, where |x| < 1
(1 – x2)–3
State, by writing first four terms, the expansion of the following, where |x| < 1
`(1 + x)^(-1/5)`
State, by writing first four terms, the expansion of the following, where |x| < 1
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State, by writing first four terms, the expansion of the following, where |b| < |a|
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State, by writing first four terms, the expansion of the following, where |b| < |a|
(a + b)−4
State, by writing first four terms, the expansion of the following, where |b| < |a|
`("a" + "b")^(1/4)`
State, by writing first four terms, the expansion of the following, where |b| < |a|
`("a" - "b")^(-1/4)`
State, by writing first four terms, the expansion of the following, where |b| < |a|
`("a" + "b")^(-1/3)`
Simplify first three terms in the expansion of the following
`(1 + 3x)^(-1/2)`
Simplify first three terms in the expansion of the following
`(2 - 3x)^(1/3)`
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`(5 + 4x)^(-1/2)`
Simplify first three terms in the expansion of the following
`(5 - 3x)^(-1/3)`
Use binomial theorem to evaluate the following upto four places of decimal
`sqrt(99)`
Use binomial theorem to evaluate the following upto four places of decimal
`root(3)(126)`
Use binomial theorem to evaluate the following upto four places of decimal
`root(4)(16.08)`
Use binomial theorem to evaluate the following upto four places of decimal
(1.02)–5
Use binomial theorem to evaluate the following upto four places of decimal
(0.98)–3
Answer the following:
Expand `((2x)/3 - 3/(2x))^4`
Answer the following:
Using binomial theorem, find the value of `root(3)(995)` upto four places of decimals
Answer the following:
Find approximate value of `1/4.08` upto four places of decimals
