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AMAT217Lab1.pdf

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Department
Statistics
Course
STAT 217
Professor
Lucia
Semester
Winter

Description
Week #1 Compute each of the following limits: 2 4 ▯ ▯ 16 − x − ▯x − x − 17▯ 1. lim 2. lim 3 5x + 1 3. lim x→2 −x + 5x − 14 x→1 x − 1 x→4 x + 1 4 2 4. lim 1 − 2x 5. lim |3x − 16| 6. limx − 6x − 8x − 3 x→−3 − (x + 3) x→5 + 5 − x x→3 x + 2x − 15x √ f(x) − f(1) ▯ 16x − 5x + 1 7. lim , where f(x) = x + 3x + 5 8. lim x→1 x − 1 x→+∞ 3x − 1 3 − x ▯ ▯ ▯ ▯ ▯ ▯ 9. lim √3 3 10. lim 2x − 4x + x + 1 11. lim 2x + 4x + x + 1 x→−∞ 15 − 8x x→−∞ x→−∞  3  11 + x if x < −2 12. f(x) = −3 if x = −2 Determine lim f(x), if it exists.  2 x→−2 15/(x + 1) if x > −2 ▯2 ▯ 2 13. lim x + 3x − 28 14. lim x + 5x x→4 − 3x − 11x − 4 x→0 |x − 1| − 1  2  x K − K if x < 2 3 15. f(x) =  K if x = 2 Find all values of the constant real number (32 − Kx)/(x − 2) if x > 2 K so that x→2 f(x) exists, and has a value greater than 16. The following problems are high s
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