cmi-entrance 2020 Q7

cmi-entrance · India · pgmath 4 marks Proof True/False Justification
Which of the following functions are uniformly continuous on $\mathbb{R}$?
(A) $f(x) = x$;
(B) $f(x) = x^{2}$;
(C) $f(x) = (\sin x)^{2}$;
(D) $f(x) = e^{-|x|}$.
Which of the following functions are uniformly continuous on $\mathbb{R}$?\\
(A) $f(x) = x$;\\
(B) $f(x) = x^{2}$;\\
(C) $f(x) = (\sin x)^{2}$;\\
(D) $f(x) = e^{-|x|}$.