If the function f(x)= array ll a| -x|+1, & x 5 b|x- |+3, & x>5 array . is continuous at x…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If the function \(f(x)=\left\{\begin{array}{ll} a|\pi-x|+1, & x \leq 5 \\ b|x-\pi|+3, & x>5 \end{array}\right.\)is continuous at x = 5, then value of \((a-b)\) is
- \(\frac{2}{\pi+5}\)
- \(\frac{-2}{\pi+5}\)
- \(\frac{2}{\pi-5}\)
- \(\frac{2}{5-\pi}\)
Answer
(B) -2 +5
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