Set, Relation and FunctionHard

Question

The value of p and q for which the function f(x) = is continuous for all x in R, is

Options

A.
B.
C.
D.

Solution


(p + 1) cos (p + 1) x + cos x = q =
p + 1 + 1 =        ⇒ p = -

Create a free account to view solution

View Solution Free
Topic: Set, Relation and Function·Practice all Set, Relation and Function questions

More Set, Relation and Function Questions

If f(x) = (where [.] and {.} represent greatest integer and fractional part function respectively), then -...Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set A × B,...The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on the set A = {1, 2, 3} is -...Let A = {x1, x2,......, x7} and B = {y1, y2, y3} be two sets containing seven and three distinct elements respectively.T...Let f, g and h be real-valued functions defined on the interval [0, 1] by f(x) = ex2 + e- x2, g(x)= xex2 + e- x2 and h (...