Q .   I f   f ( x )   = 2 cos   x - 1 cos   x - 1 ,   x π 4 .   F i n d   t h e   v a l u e   o f   f π 4   s o   t h a t   f ( x )   b e c o m e s   c o n t i n u o u s a t   x   =   π / 4 .

Dear Student,

There is no formula being used here.
we are using the concept of continous function.
for a function f(x) to be continous at point x=awe should have limxa-fx=limxa+fx=limxafx=faHence here we need to find the continuity of f(x) at x=π4Hence limxπ4fx=fπ4

Regards,

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