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Maclaurin Series questions are less of hard and more of tedious. Practice and you'll get better. :)
I have double checked the differentiation, it should be be fine. You might want to check the values of y , dy/dx etc.
As for why the approximation is poor, it's usually the same reason: the x is too big. Approximations get better as x gets smaller.
Lastly, equation of tangent at x = 0 is y = 0.5x because y = 0 and dy/dx = 1/2 when x = 0.
I have double checked the differentiation, it should be be fine. You might want to check the values of y , dy/dx etc.
As for why the approximation is poor, it's usually the same reason: the x is too big. Approximations get better as x gets smaller.
Lastly, equation of tangent at x = 0 is y = 0.5x because y = 0 and dy/dx = 1/2 when x = 0.
Date Posted:
7 years ago