Q8) Considered that the function f(x) = x.e* Find the first three nonzero terms in Maclaurin series i. Compute the approximate value of function (Maclaurin series) at x = 1 and compare it with the exact value? Compute the approximate integral value of the function (Maclaurin series), ii. iii.

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08) Considered that the function f(x) = x.e*
i.
Find the first three nonzero terms in Maclaurin series
Compute the approximate value of function (Maclaurin series) at x = 1 and
ii.
compare it with the exact value?
Compute the approximate integral value of the function (Maclaurin series),
iii.
Ans./ i)f(x) = x +x² +x³ + ..
ii) @x = 1 + Approximate = 1+12
513 = 2.5
Exact = 1. e' = 2.7
iii) Integral = 0.958
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Transcribed Image Text:08) Considered that the function f(x) = x.e* i. Find the first three nonzero terms in Maclaurin series Compute the approximate value of function (Maclaurin series) at x = 1 and ii. compare it with the exact value? Compute the approximate integral value of the function (Maclaurin series), iii. Ans./ i)f(x) = x +x² +x³ + .. ii) @x = 1 + Approximate = 1+12 513 = 2.5 Exact = 1. e' = 2.7 iii) Integral = 0.958 مرّ للأعلى لاستعراض الفلاتر إضافة شرح. . . + Ali < >
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