Limits (continued)-solutions HW 4

# Limits (continued)-solutions HW 4 - handa (nh5757) Limits...

This preview shows pages 1–4. Sign up to view the full content.

handa (nh5757) – Limits (continued) – bormashenko – (54880) 1 This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points Determine which one oF the Following is the graph oF f ( x )= 2 x x - 2 . 1. correct 2. 3. 4. 5. 6. Explanation: The graph oF f will have a vertical asymp- tote at x - 2=0 , i.e. ,toth er igh to Fth e y -axis. This eliminates two oF the possible graphs. In addition, the graph oF f must pass through the origin, eliminating a third graph. To decide which oF the remaining three graphs is that oF f we look at the behaviour oF f near the asymptote: lim x 2 - f ( x -∞ , while lim x 2+ f ( x )=+ .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
handa (nh5757) – Limits (continued) – bormashenko – (54880) 2 Consequently, the graph of f must be keywords: limit, inFnity 002 10.0 points Determine lim x 0 x - 1 x 2 ( x +7) . 1. limit = - 1 7 2. none of the other answers 3. limit = 0 4. limit = -∞ correct 5. limit = 1 6. limit = Explanation: Now lim x 0 x - 1= - 1 . On the other hand, x 2 ( x > 0forallsmall x ,bothpos itiveandnegative ,wh ile lim x 0 x 2 ( x +7) = 0 . Consequently, limit = -∞ . keywords: evaluate limit, rational function 003 10.0 points Determine the limit lim x 3 8 ( x - 3) 2 . 1. limit = correct 2. limit = - 8 3 3. none of the other answers 4. limit = -∞ 5. limit = 8 3 Explanation: Since ( x - 3) 2 0fora l l x ,weseethat lim x 3 8 ( x - 3) 2 = . keywords: limit, rational function 004 10.0 points Determine lim x 0 csc x 5 x . 1. limit = correct 2. limit = - 1 5 3. limit = 1 5 4. limit = -∞ 5. none of the other answers Explanation:
handa (nh5757) – Limits (continued) – bormashenko – (54880) 3 Since csc x 5 x = 1 5 x sin x > 0 for all small x ,bo thpo

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## Limits (continued)-solutions HW 4 - handa (nh5757) Limits...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online