Answer:

Here,

Lower limit, a = 0

Upper limit, b = 2

Step:- 1

where h is the width of interval and n is number of intervals of width h

Step :- 2

Put x = a + rh = 0 + rh = rh

So, above expression can be rewritten as

Step :- 3

By definition of Limit as a Sum,

So, on substituting the values, we get

Now, first term forms a GP series, so using sum of n terms, we get

Hence,

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Formulae Used

1. Sum of n terms of GP series having first term a and common ratio r respectively is given by

2. Sum of first n natural numbers is given by

3. Limit result

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ADDITIONAL INFORMATION

Step-by-step explanation: