Questions from General Calculus

Q: Evaluate the limit, if it exists. /

Evaluate the limit, if it exists.

Q: Evaluate the limit, if it exists. /

Evaluate the limit, if it exists.

Q: Evaluate the limit, if it exists. /

Evaluate the limit, if it exists.

Q: a. Estimate the value of / by

a. Estimate the value of by graphing the function f(x) = x/(( 1 + 3x – 1). b. Make a table of values of f(x) for x close to 0 and guess the value of the limit. c. Use the Limit...

Q: a. Use a graph of f(x) =

a. Use a graph of f(x) = 3 + x - √3/x to estimate the value of limx → 0 f(x) to two decimal places. b. Use a table of values of f(x) to estimate the limit to four decimal places. c. Use the Limi...

Q: Use the Squeeze Theorem to show that lim x→0 (

Use the Squeeze Theorem to show that lim x→0 (x2cos20πx) = 0. Illustrate by graphing the functions f(x) = -x2, g(x) = x2cos20πx, and h(x) = x2 on the same screen.