the following statements true or false? Give reasons for your answer.
a) For the function f, defined by f(x) =4x2-4x2- 7x -2,there exists a point
C ∈ ]-1/2,2[ satisfying f′(c) = 0
b) For all even integral values of n,
lim (x+1)-n exists.
c) The function f defined by f(x)= [x − 1], (where [x] is the greatest integer
function) is integrable on the interval [2,-4].
d) Every infinite set is an open set.
e) All strictly monotonically decreasing sequences are convergent.