Advertisements
Advertisements
Question
Answer the following:
Find approximate value of `1/4.08` upto four places of decimals
Solution
`1/4.08` = (4.08)–1
= (4 + 0.08)–1
= [4 (1 + 0.02)]–1
= 4–1 (1 + 0.02)–1
= `1/4 [ 1 + (-1)(0.02) + ((-1)(-1 - 1))/(2!) (0.02)^2 + ......]`
= `1/4[1 + (-1)(0.02) + ((-1)(-2))/2 (0.02)^2 + ......]`
= `1/4 (1 - 0.02 + 0.0004 + ....)`
= `0.9804/4`
= 0.2451
APPEARS IN
RELATED QUESTIONS
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
`(1 - x)^(1/3)`
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
(1 + x2)–1
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 + 2x)–4
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)`
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
Show That C1 + C2 + C3 + .... Cn = 2n − 1
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
