Let f(x)=|x| + 1 and g(x)=[x] − 1, where [.] is the greatest integer function.

Let h(x) = f(x)/g(x)

Consider the following statements:

1.f(x) is differentiable for all x < 0

2.g(x) is continuous at x = 0.0001

3.The derivative of g(x) at x = -2.5 is 1

Which of the statements given above are correct?

Two dice each numbered from 1 to 6 are thrown together. Let A and B…

Two dice each numbered from 1 to 6 are thrown together. Let A and B…

An urn contains one black ball and one green ball. A second urn contains one…

An urn contains one black ball and one green ball. A second urn contains one…

What is the most probable number of successes in 10 trials with probability of success…