Exam 1 (b) - ( a ) . ( b ) ( c ) . ( d ) . . (6 Marks)...

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Next: About this document MATH 1300.03F D Exam 1 Friday, October 8, 1999 NAME: Student Number: . (5 Marks) Let , . ( i ) Show that f is one to one on . ( ii ) Find the domain of the inverse function of f . ( iii ) Find a formula for the inverse function. ( i ) Proof. Assume that f ( x )= f ( x '), . Then . This implies and x = x '. Hence, f is one to one on . ( ii ) Let . Then . Hence, the domain of the inverse function is . ( iii ) , . . (4 Marks) Evaluate the following limits.
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Unformatted text preview: ( a ) . ( b ) ( c ) . ( d ) . . (6 Marks) Determine whether each of the following functions is continuous at x =0. (1) Soln: We rewrite f as follows: Then, we have . This implies . Hence, f is continuous at x =0. (2) Soln: We rewrite f as follows: Hence, we have This implies does not exist and f is not continuous at x =0. About this document . .. Kunquan Lan Mon Jan 24 11:36:45 EST 2000...
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Exam 1 (b) - ( a ) . ( b ) ( c ) . ( d ) . . (6 Marks)...

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