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q151q1wi - Typeset using A M S-T E X MATH 151 Assignment 1...

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Name: MATH 151 Assignment 1 Autumn 2009 Time : Due at start of class on 1/13/2010 Max : 15 Instructions : This assignment has 3 questions on 2 pages. Write your final answer to each question in the space provided under that question. 1 (4 points ). Let f ( x ) = x - sin x x 3 . Find f ( ± 0 . 1), f ( ± 0 . 01), f ( ± 0 . 001) and f ( ± 0 . 0001) correct to five decimal places. Use this to estimate lim x 0 f ( x ). f (0 . 1): f ( - 0 . 1): f (0 . 01): f ( - 0 . 01): f (0 . 001): f ( - 0 . 001): lim x 0 f ( x ): 2. Let f be the function f ( x ) = ( x + 1)( x - 3) ( x - 1)( x + 1) . Find the following limits using limit laws. Give the exact answer using fractions and/or radicals as needed. (i) (2 points ) lim x →- 1 f ( x ) Answer : (ii) (1 point ) lim x 2 f ( x ) Answer : (over)
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Unformatted text preview: Typeset using A M S-T E X. MATH 151 Assignment 1, p . 2 Autumn 2009 x y 5-5 5-5 3 (8 points ). The graph of a certain function f is shown below. Use this graph to Fnd the following limits. Use ∞ and-∞ appropriately to indicate inFnite limits. lim x →-5 + f ( x ): lim x →-2-f ( x ): lim x →-2 + f ( x ): lim x →-2 f ( x ): lim x →-f ( x ): lim x → + f ( x ): lim x → f ( x ): lim x → 3-f ( x ): lim x → 3 + f ( x ): lim x → 3 f ( x ): lim x → 6-f ( x ): end...
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