Tutorial 5 - Tutorial 5 Introduction to Calculus and Linear...

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Tutorial 5 – Introduction to Calculus and Linear Algebra Page 1 of 1 Tutorial 5 Introduction to Calculus and Linear Algebra In Exercises 1 to 5, find the indicated limit if it exists. 1. 1 1 lim 2 1 - - x x x 2. 5 10 3 lim 2 5 - - - x x x x 3. ) 4 )( 1 ( ) 4 )( 1 ( lim 4 - - - + x x x x x 4. 2 3 6 lim 2 2 2 + + - - - x x x x x 5. 4 2 lim 1 - - x x x 6. Decide if the following functions are continuous at the specified value of x . (i) 1 6 5 ) ( 2 + - = x x x f at x = 2 (ii) 1 1 ) ( - + = x x x f at x = 1 (iii) > + = 2 if 2 2 if 1 ) ( x x x x f
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