Problem 1: Find .

Problem 2: If , then what is the value of ?

Problem 3: If , then find the value of

Problem 4: Find the value of

Problem 5: Find the value of

Problem 6: Find the value of

Problem 7: Find the value of

Problem 8: If , what is the relationship between m and n if

Problem 9: Find

Problem 10: Find the value of a given the following:

when x less than or equal to -2.

when x greater than -2.

given that exists.

Problem 11: Let , then find the value of

Problem 12: Let then find the value of

Problem 13: The function is not defined when x is zero. In order to make this function continuous at zero, what should be the value of f at zero?

Problem 14: If the function given below is continuous at x=3, find the value of c:

for

for

for

Problem 15: If , when and , when when , then which of the following is true ? (a) f(x) is continuous at (b) (c) f(x) is discontinuous at (d) none of these.

Problem 16:

If , when x is not zero, and . If is continuous at , then find the value of .

Problem 17:

Let where and , then which value of will make f(x) continuous at

Regards,

Nalin Pithwa

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