The trapezoidal method is used to evaluate the numerical value of ∫₀¹ eˣ dx.…
GATE · 2007 · IT
The trapezoidal method is used to evaluate the numerical value of ∫₀¹ eˣ 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 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)
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