6. If 3x – 3 5 f(x) < x2 – 3x + 6 for x 2 0, find lim f(x). X-3
If 4 - x2 = f(x) < 4+x2 for –3 <x<3, find lim (2) 20
core: 16/100 5/25 answered Question 17 < Find the limit 72 – 7y - 7 lim (z,y) → (2,1) 1/x - y - 1 Submit Question
cewise Functions e function, evaluate lim f(x). 2 1-2x²+x+3 f(x) = { 2x2 – 3x + 3 (-3x - 2 if if xs1 1<x< 6 if x26 below:
Find the partial fraction decomposition. (HINI 3x + 12 x² + 3x For resta decomposition nr: <*t3x =(xXx+]
Question 9 2 pts You are given lim f(x) = L and a tolerance ε. Find a number 8 such that (x)-1|< < whenever 0 <br-al<o x-a lim 8x = 32; a = 0.01 X-4 O 0.04 0.01 O 0.00125 O 0.08
1. Evaluate lim f(x) if 1 – x4 = f(x) < cosx for all x in X+0 2. Find f'(x) when (a) f(x) = cscZx - cotax (b) f(x) = Vă -
* if <<1 Let h(x) = { 2 – 22 if i< x < 2 2 - 3 if < > 2 Use the limit definition of derivative to find h'(1) if it exists.
- Given the function f(x) = { 2, -1<x<i 10, otherwise find its Fourier sine transform g(a), such that f(x) g(a) sin oz da
Determine if the limit exists, Graphically b.) lim X1 x2 + 3 2 x<> 1 x=1