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## Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 5 Binomial Theorem, Sequences and Series Ex 5.4

Question 1.

Expand the following in ascending powers of x and find the condition on x for which the binomial expansion is valid.

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Question 2.

Find \(\sqrt[3]{1001}\) approximately (two decimal places).

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Question 3.

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Question 4.

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Question 5.

Write the first 6 terms of the exponential series

(i) e^{5x}

(ii) e^{-2x}

(iii) \(e^{\frac{x}{2}}\)

Solution:

Question 6.

Write the first 4 terms of the logarithmic series

(i) log(1 + 4x),

(ii) log(1 – 2x),

(iii) \(\log \left(\frac{1+3 x}{1-3 x}\right)\)

(iv) \(\log \left(\frac{1-2 x}{1+2 x}\right)\).

Find the intervals on which the expansions are valid.

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Question 7.

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Question 8.

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Question 9.

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Question 10.

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### Samacheer Kalvi 11th Maths Solutions Chapter 5 Binomial Theorem, Sequences and Series Ex 5.4 Additional Questions

Question 1.

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Question 2.

Write the four terms in the expansions of the following:

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Question 3.

Evaluate the following:

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Question 4.

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Question 5.

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