?If \({H}\) is the Heaviside function defined in Section 2.2, prove, using Definition 2
Chapter 2, Problem 38(choose chapter or problem)
If \({H}\) is the Heaviside function defined in Section 2.2, prove, using Definition 2, that \(l i m_{t \rightarrow 0} \mathrm{H}(\mathrm{t})\) does not exist. [Hint: Use an indirect proof as follows. Suppose that the limit is \({L}\). Take \(\epsilon=\frac{1}{2}\) in the definition of a limit and try to arrive at a contradiction.]
Equation Transcription:
H
H(t)
L
Text Transcription:
H
Lim_t right arrow 0 H(t)
L
epsilon = 1/2
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