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Question -

f(x) = |x|-|x + 1| द्वारा परिभाषित फलन f के सभी असातत्यता के बिन्दुओं को ज्ञात कीजिए।



Answer -

ज्ञात है- f(x) = |x|-|x +1|
f(x) = – x -[-(x + 1)]
जबx< – 1]
= -x + x + 1 = 1
f(x) = – x – (x + 1), [
जब –1≤ x < 0]
= – x – x – 1
= – 2x – 1
f(x) = x – (x + 1),
जब x≥0
= x – x – 1 = -1

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