Consider the following statements : 1. The function f(x) is continuous at x=0. 2. The function f(x) is continuous at x=\frac{\pi}{2}.Which of the above statements is/are correct? [NDA I 2016]

Correct Answer is : Both 1 and 2

UPSC NDA I 2016 Mathematics Solved Paper

For the next two (2) items that follow :
A function f(x) is defined as follows:

f(x)={

x+π

for

x∊[−π,0)

π‌cos‌x

for

x∊[0,

]

(x−

for

x∊(

,π]

[NDA I 2016]

Question : 54 of 120

Marks: +1, -0

Consider the following statements :
1. The function f(x) is continuous at x=0.
2. The function f(x) is continuous at x=‌

.Which of the above statements is/are correct?

[NDA I 2016]

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