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limt x approaching 0, (abs|x|)^2

limt x approaching 0, (abs|x|)^2

Grade:12th pass

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
7 years ago
Hello student,
Please find answer to your question
f(x) = |x|^{2}
For limit to exist at x = 0,
LHL = RHL = f(0)
LHL = \lim_{h\rightarrow 0}|-h|^{2}
LHL = \lim_{h\rightarrow 0}|h|^{2}
LHL = 0
RHL = \lim_{h\rightarrow 0}|h|^{2}
RHL =0
f(0) = 0
LHL = RHL = f(0) = 0

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