Limits Questions

Consider the following statements in respect of the function

f(x) = sin(1/x²), x ≠ 0 :

1. It is continuous at x = 0, if f(0) = 0.
2. It is continuous at x = 2/√π.

Which of the above statements is/are correct?

For the following two (02) items:

Direction for Questions (109-110): Consider the following for the two (02) items that follow:

 Let the function f(x) = x² – 1

. What is  equal to?

Direction for Questions (103-104): Consider the following for the two (02) items that follow: Let the function f(x) = sin[x], where [.] is the greatest integer function and g(x) = [x].

 What isequal to?

Direction for Questions (103-104): Consider the following for the two (02) items that follow: Let the function f(x) = sin[x], where [.] is the greatest integer function and g(x) = [x].

What is  equal to?

Direction for Questions (63-64): Consider the following for the two (02) items that follow: Let the function f(x) = x² + 9.

What if limequal to?

What is I equal to?

Which one of the following is correct regarding

What is equal to?

For the following two (02) items: