Home / Expert Answers / Advanced Math / prove-that-the-function-f-0-1-r-defined-by-f-x-sin-1-x-is-continuous-but-not-uniformly-c-pa194

(Solved): Prove that the function f : (0,1) R defined by f(x) = sin(1/x) is continuous but not uniformly c ...



Prove that the function f : (0,1) ? R defined by f(x) = sin(1/x) is continuous but not uniformly continuous on (0, 1). You may assume continuity of the sine function
Prove that the function \( f:(0,1) \rightarrow \mathbb{R} \) defined by \( f(x)=\sin (1 / x) \) is continuous but not uniform
Prove that the function \( f:(0,1) \rightarrow \mathbb{R} \) defined by \( f(x)=\sin (1 / x) \) is continuous but not uniformly continuous on \( (0,1) \). You may assume continuity of the sine function


We have an Answer from Expert

View Expert Answer

Expert Answer


We can write sin?(1x) as composition of two functions. For this let f(x)=1xandg(x)=
We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe