Questions from General Calculus

Q: For the limit / illustrate Definition 9 by

For the limit illustrate Definition 9 by finding a value of N that corresponds to M = 100.

Q: a. How large do we have to take x so that

a. How large do we have to take x so that 1/x2 b. Taking r = 2 in Theorem 5, we have the statement Prove this directly using Definition 7.

Q: Use Definition 8 to prove that /

Use Definition 8 to prove that

Q: Prove, using Definition 9, that /

Prove, using Definition 9, that

Q: Determine the infinite limit. /

Determine the infinite limit.

Q: Use Definition 9 to prove that /

Use Definition 9 to prove that

Q: Formulate a precise definition of / Then use

Formulate a precise definition of Then use your definition to prove that

Q: a. Prove that / And

a. Prove that And if these limits exist. b. Use part (a) and Exercise 65 to find

Q: Explain in your own words the meaning of each of the following

Explain in your own words the meaning of each of the following.

Q: a. Can the graph of y = f(x)

a. Can the graph of y = f(x) intersect a vertical asymptote? Can it intersect a horizontal asymptote? Illustrate by sketching graphs. b. How many horizontal asymptotes can the graph of y = f(x) have?...