Chapter 20.1, Problem 21E

Pls help ASAP

3. True False. If false create functions that prove it is false. Note: f(x) = g(x). a) If_lim ƒ(x) = ∞ and_lim g(x) = ∞,then_lim [ƒ(x) − g(x)] = 0 x→ 0+ x→0+ x→0+ b) If h(x) and g(x) are continuous at x = c, and if h(c) > 0 and g(c) = 0, then h(x) lim. will = x→c g(x) c) If lim f(x) = 0 and lim g(x) = 0 then lim f(x) does not exist. x-a x-a x→a g(x)

Pls help ASAP

15. a) Consider f(x) = x-1 3x+2 and use the difference quotient to determine the simplified expression in terms of x, for the slope of any tangent to y = f(x). Also, determine the slope at x = 2. 15 b) Determine the equation of the tangent to f(x) at x = 2. Final answer in Standard Form Ax + By + C = 0, A ≥ 0, with no fractions or decimals.

Pls help ASAP

Pls help ASAP

Determine whether the series is convergent or divergent. Justify your answer. If the series is convergent, you do not have to find its sum. n=0 (-1) 72n+1 (2n)!

+ Find the first five non-zero terms of the Taylor series for f(x) = sin(2x) centered at 4π. + + + ...

+ + ... Find the first five non-zero terms of the Taylor series for f(x) centered at x = 4. = 1 x + + +