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Discuss the continuity of function f (x) = 2-x x |
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Answer» −
f(x)= h→0 lim f(2−h)= h→0 lim ∣2−h−2∣= h→0 lim ∣−h∣=0 x→2 +
lim f(x)= h→0 lim f(2+h)= x→0 lim ∣2+h−2∣=∣h∣=0 and f(2)=∣2−2∣=0 ⇒f is continuous at x=2. |
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