Determine if the limit exists, Graphically b.) lim X1 x2 + 3 2 x<> 1 x=1
22 points possible 7/22 answered Question 14 < > ✓-4-2 +4 if << -5 Let f(2)= if x = -5 3x + 20 if 2> - 5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(a) I-5 lim 2-5 lim f(x) = > Next Question 21 MacBook Air
For Exercises 21 and 22, consider the function f given by 5x – 2, for x S 3, f(x) 1x - 1, for x > 3. у 5 4 3 N -1 -5-4-3-2-1 -1 1 2 3 4 5 х -4 If a limit does not exist, state that fact. 21. Find (a) lim -f(x); (b) lim+f(x); (c) lim f(x). 22. Find (a) lim-f(x); (b) lim-f(x); (e) lim f(x). 23
5. Evaluate the limit: lim expn n! n>00
If 4 - x2 = f(x) < 4+x2 for –3 <x<3, find lim (2) 20
Evaluate the function for the given value of x. 1-2x-5, {/x-7). for x<-1 for -1 <x<1 for x21 19, Find f(-1) undefined -8. -3 8.
IDY in < oo and lim - Yn < 0o. Prove that lim,+ 1. Let In > 0. Yn > 0 such that lim,- Yn) < lim,-- In lim,+ Yn: i tn < oo and lim yn < . Prove that lim. In 1. Let In 20, yn 0 such that lim Yn) < limn+In lim + Yr
g(x) = (x+2; x<-1 -x2 - 5; -1 < x < 1 ( (x - 2)3; x > 1 6. Evaluate lim g(x) X19 11. Let y = (x2 + 1)(x +5 -3); Find y'
S2 - 2 – 22 if I < 2 Let f(n) = { | 2:- 5 if > 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim, f(a) = 0 Preview lim f(x) = Preview lim, f(z) = 0 Get help: Video Preview Points possible: 1 This is attempt 1 of 2.
Evaluate the function for the given values of x. (-5x+4, for x<-1 x) = ), 2 + 3 1, for -1 5x</ 2 for x (a) f(-1): (b) f(3)