Question

A root of the equation

− 1 = 0 lies in the interval (0.5,1). Determine the root correct to 3 decimal

places using regula-falsi method..If {} be a monotone decreasing sequence of positive real numbers and lim = 0, prove that the

following sequences are convergent.

(a) 1 −

1

2

(1 + 2

) +

1

3

(1 + 2 + 3

) − … … …

(b) 1 −

1

2

(1 + 3

) +

1

3

(1 + 3 + 5

) − … … … ​

Answer 1

Answer:

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