Please answer with work Determine the limit at infinity. - 15x2 - 8x + 13 2)...
A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. Show that each of the following functions has a horizontal asymptote by calculating the given limit. 200 33 lim 12 + x2 - 6x + 15 12 - 113 1522 + 2 lim + 2 - 00 9 + 2 (12x – 15) 92 +6 73 – 12 lim - 13 2 - 12 2- + 152...
solve please now Evaluate the following limit using Taylor series. 8 tan* *(x) – 8x+x lim x³0 33³ 8 tan (x) – 8x + x2 lim X-0 = (Simplify your answer.) 3x
Please answer with work For the function f whose graph is given, determine the limit. 15) a) Find the lim f(x) = X-15 b) Find the lim f(x) = X1+ c) Find the lim f(x) = x-1 2+
3. (5pts each)Assume that a and b are constants. Evaluate each limit (MUST SHOW WORK!). If it does not exist, write DNE. lim (ax)2-12 Jax+b1 a. X- a b. lim X-00 5-4x V9x2+7 C. sin(2x) tan(6x) lim x0 x sin(3x) d. lim (e-* In(x)) x-00
2. Find the limits of the following functions if they exist. Show all necessary work. If the limit is co or -00, then state this rather than that it does not exist: (2 points each) a. lim x+3 V6x-2-4 x-3 b. lim arctan(3x) x sin(x) 3. Find the average value of the function f(x) = 4x2 + 8x -1 on (-1, 3).
Real analysis 10 11 12 13 please (r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and limf(x)-L. Prove that lim)ILI. h If, in addition, )o for all x E E, prove that lim b. Prove that lim (f(x))"-L" for each n E N. ethe limit theorems, examples, and previous exercises to find each of the following limits. State which theo- rems, examples, or exercises are used in each case....
Determine the limit of the trigonometric function (if it exists). (If an answer does not exist, enter DNE.) lim 5x2 tan πx x→1/2
lim x -> infinity calculate the about with algebra and limit laws only. Please show work and step. Please screen shot work so it's easier to read than trying to type it out. I can get to but then i get stuck. please help We were unable to transcribe this imageWe were unable to transcribe this image
Find the limit and show steps if doesn't exist please I'll rate: (a) lim -3.x2 + 8 X400 5x2 + 12x (b) lim 3 + 7:22 2x – 9 0-00 Use the limit definition of the derivative to find f'(x) if f(x) = x2 + 50.
1 point) Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as INF. If it diverges to negative infinity, state your answer as MINF. If it diverges without being infinity or negative infinity, state your answer as DIV. lim n infty -17n+ 17 7^ n