Maths Book back answers and solution for Exercise questions - Mathematics : Applications of Differential Calculus: Series Expansions: Maclaurinâ€™s and Taylorâ€™s Series

**EXERCISE 7.4**

**1. Write the Maclaurin series expansion of the following functions:**

**(i) ex**

**(ii) sin x**

**(iii) cos x**

**(iv) log(1- x) ; â€“1 â‰¤ x < 1**

**(v) tan-1 ( x) ; â€“1 â‰¤ x â‰¤ 1**

**(vi) cos2 x**

**2. Write down the Taylor series expansion, of the function log x about x = 1 upto three non-zero terms for x > 0.**

**3. Expand sin x in ascending powers x â€“ Ï€/4 upto three non-zero terms.**

**4. Expand the polynomial f (x) = x2 â€“ 3x + 2 in powers of x â€“ 1.**

**Answers:**

**(4) f (x) = âˆ’ ( x âˆ’1) + ( x âˆ’1)2**

Tags : Problem Questions with Answer, Solution , 12th Maths : UNIT 7 : Applications of Differential Calculus

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12th Maths : UNIT 7 : Applications of Differential Calculus : Exercise 7.4 : Series Expansions: Maclaurinâ€™s and Taylorâ€™s Series | Problem Questions with Answer, Solution

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