1.

If the function, \(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}}{a\left| {\pi - x} \right| + 1,x \le 5}\\{b\left| {x - \pi } \right| + 3,x > 5}\end{array}} \right.\) is continuous at x = 5, then the value of a – b is:

A. \(\frac{2}{{\pi + 5}}\)
B. \({\rm{\;}}\frac{{ - 2}}{{\pi + 5}}\)
C. \(\frac{2}{{\pi - 5}}\)
D. \(\frac{2}{{5 - \pi }}\)
Answer» E.


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