text let ab text and let fa b rightarrow0 infty text be a continuous f
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\text { Let } a
or false. Please explain your answer! \text { a) If } f \text { is Lipschitz, then } f^{2} \text { is Lipschitz. } \text { (b) If } f^{2} \text { is Lipschitz, then } f \text { is Lipschitz. }