
Determine if the limit exists, Graphically
b.) lim X1 x2 + 3 2 x<> 1 x=1
1. The definition of a limit says that lim f(x)=L means that for every & >o there exists a number 8 >0 such that if o < x-al<8, then f (x)-L<£. We have lim(x + 3x - 2) = 8. If < =0.01, find the largest possible value of that will satisfy the definition. Round your answer to the nearest ten-thousandth (that's four spots after the decimal point). If you're having trouble understanding the deltas and epsilons, that's normal. Another...
Find the limit. lim 5x2 +102+2 (x, y) -(0,0) 5x2 - 10/29 O-1 No limit
Use L'Hospital's rule to find the limit
lim(3 – x?) x->0
QUESTION 3 Use the graph to find the limit, if it exists. lim f(x) =[a] x + 1 3(x) co . - 2 - -1 -27 QUESTION 4 Use the graph to find the limit, if it exists. 4 lim XO 1 2+ex =[a] 2 - 2 QUESTION 5 Use the graph to find the limit, if it exists. lim tan X = [a] XT/2 Fla T 1
If 4 - x2 = f(x) < 4+x2 for –3 <x<3, find lim (2) 20
FIND THE LIMIT OF THE FUNCTION 1 1 lim x 3 X-3X-3 1 A) = 0 B) = c) II 3 9 D) = 0 1 E) = > =; 6) H)= Select one: a. A b.C C. G d. E e. H f. F g. D
Find each limit. Use – o or oo when appropriate. 3x-3 f(x) = (x-3)2 (A) lim f(x) (B) lim f(x) (C) lim X +3 f(x) x+3 x+3+ (A) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x)= x+3 (Simplify your answer.) O B. The limit does not exist. (B) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A....
16
Find the limit. lim (In xj8/x X-> 00 lim (In x)/x = (Simplify your answer.) X-00
Use Taylor polynomials to evaluate the limit. e-3x – 1 7) lim X0 х sin 2x - sin 4x 8) lim x>0 х