GATE | Gate IT 2007 | Question 22

The trapezoidal method is used to evaluate the numerical value of \int_0^1 $e^x$\,dx. Consider the following values for the step size h.
i. 10-2
ii. 10-3
iii. 10-4
iv. 10-5
For which of these values of the step size h, is the computed value guaranteed to be correct to seven decimal places. Assume that there are no round-off errors in the computation.
(A) (iv) only
(B) (iii) and (iv) only
(C) (ii), (iii) and (iv) only
(D) (i), (ii), (iii) and (iv)

Answer: (B)


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