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FULL MARKS-BINOMIAL THEOREM, SEQUENCES AND SERIES -EXERCISE 5.4
- Expand the following in ascending powers of x and find the condition o...
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- Find root(3)(1001) approximately. (two decimal places).
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- Prove that root(3)(x^(3)+6)-root(3)(x^(3)+3) is approximately equal to...
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- Prove that sqrt((1-x)/(1+x)) is approximately equal to 1-x+(x^(2))/(2)...
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- Write the first 6 terms of the exponential series e^(1/2x)
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- Write the first 4 terms of the logarithmic series log((1-2x)/(1+2x))...
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- If y=x+x^(2)/2+x^(3)/3+x^(4)/4+... then show that x=y-y^(2)/(2!)+y^(3)...
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- If p-q is small compared to either p or q, then show that root(n)((p)/...
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- Find the co-efficient of x^(4) in the expansion of (3-4x+x^(2))/e^(2x)...
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- Find the value of sum(n=1)^(oo)(1)/(2n-1)((1)/(9^(n-1))+(1)/(9^(2n-1))...
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