Answer to Question #343656 in Calculus for Mr Alex

Question

Are the following statements true or false? Give reasons for your answers.

 a) 2 is a limit point of the interval [1,4]

 b) Every bounded sequence is convergent. 

 c) The function, f :R → R defined by f(x)= |x −1| + |3 − x |is differentiable at x =4

 d) The function f(x) = [x] − x is not integrable in [0,3] where [x] denotes the greatest 

integer function. 

 e) The function f defined by  f(x)= (e^x₊ e^-x )/2 when x not equal to 0 and 1/2 when x =0 is continuous in the closed interval, [-1,1 ]

 

Answer 1

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