Question

2. At the point of discontinuity, sum of the series is equal to ___________
a) 12[f(x+0)–f(x−0)]
b) 12[f(x+0)+f(x−0)]
c) 14[f(x+0)–f(x−0)]
d) 14[f(x+0)+f(x−0)]​

Answer 1

Right option is (b) 12[f(x+0)+f(x−0)]

Explaination:

• When there is a point of discontinuity, the value of the function at that point is found by taking the average of the limit of the function in the left hand side of the discontinuous point and right hand side of the discontinuous point.
• Hence the value of the function at that point of discontinuity is 12[f(x+0)+f(x−0)].

Answer 2

Answer:

$(b) \frac{1}{2} [f(x+0)+f(x-0)]$   is the correct answer.

Step-by-step explanation:

When there is a point of discontinuity, the value of the function at that point is found by taking the average of the limit of the function in the left hand side of the discontinuous point and right hand side of the discontinuous point. Hence the value of the function at that point of discontinuity is

$\frac{1}{2} [f(x+0)+f(x-0)]$

#SPJ2