GATE EC 2017 Set 1 — Question 26
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Engineering Mathematics → Calculus → Taylor Series (One & Two Var)
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Question
Let for real . From among the following, choose the Taylor series approximation of around , which includes all powers of less than or equal to 3.
Correct answer
(C) 1 + x + (3)/(2)x² + (7)/(6)x³
Solution
The Taylor series expansion for around is:Substitute :Expand the terms and keep only powers of up to 3:
1.Constant term:
2. term:
3. term:
4. term:
Thus, the approximation is .Continue learning with Success Tracker
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