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as the power series expansion 
then a5 correct upto three decimal places, is equal to _Correct answer is '0.1'. Can you explain this answer?
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Verified Answer
as the power series expansion then a5correct upto three decimal places...
We have
a1x + a2x2 + a3x3 + a4x4 + a5x5 +..
On differentiation, it gives, by Leibnitz rule on the left, and termwise differentiation on the right,
ex = 1 +
cosx
Then
The coefficient of t4 in (*) is 5a5.
On differentiation, it gives, by Leibnitz rule on the left, and termwise differentiation on the right,
ex = 1 +
cosx
Then
The coefficient of t4 in (*) is 5a5.
The coefficient of x4 in (**) is 1/2 + 1/4!, i.e., 1/2 + 1/24 = 13/24.
Comparing these coefficients (note that symbols x and t play the same role), we get
13/24 = 5a5
Which given a5 = 1/5. 13/24 ≈ 0.108.
Comparing these coefficients (note that symbols x and t play the same role), we get
13/24 = 5a5
Which given a5 = 1/5. 13/24 ≈ 0.108.
Most Upvoted Answer
as the power series expansion then a5correct upto three decimal places...
We have
a1x + a2x2 + a3x3 + a4x4 + a5x5 +..
On differentiation, it gives, by Leibnitz rule on the left, and termwise differentiation on the right,
ex = 1 +
cosx
Then
The coefficient of t4 in (*) is 5a5.
On differentiation, it gives, by Leibnitz rule on the left, and termwise differentiation on the right,
ex = 1 +
cosx
Then
The coefficient of t4 in (*) is 5a5.
The coefficient of x4 in (**) is 1/2 + 1/4!, i.e., 1/2 + 1/24 = 13/24.
Comparing these coefficients (note that symbols x and t play the same role), we get
13/24 = 5a5
Which given a5 = 1/5. 13/24 ≈ 0.108.
Comparing these coefficients (note that symbols x and t play the same role), we get
13/24 = 5a5
Which given a5 = 1/5. 13/24 ≈ 0.108.
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as the power series expansion then a5correct upto three decimal places, is equal to _Correct answer is '0.1'. Can you explain this answer?
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as the power series expansion then a5correct upto three decimal places, is equal to _Correct answer is '0.1'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about as the power series expansion then a5correct upto three decimal places, is equal to _Correct answer is '0.1'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for as the power series expansion then a5correct upto three decimal places, is equal to _Correct answer is '0.1'. Can you explain this answer?.
as the power series expansion then a5correct upto three decimal places, is equal to _Correct answer is '0.1'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about as the power series expansion then a5correct upto three decimal places, is equal to _Correct answer is '0.1'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for as the power series expansion then a5correct upto three decimal places, is equal to _Correct answer is '0.1'. Can you explain this answer?.
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