by factorization obtain the
limit, a= 6
Find the limit algebraically: lim X-2 1 1 х 0-12 - 2+2- +2+ 02- 2+2+ 2+2-96 lim f(x) = 2, lim f(x) = -2 lim g(x) = 5, lim g(x) = -5, find f(2) a) lim b) lim f(x) c) lim 2+2+ g(x)' 3+2 g()
Use Taylor polynomials to evaluate the limit. e-3x – 1 7) lim X0 х sin 2x - sin 4x 8) lim x>0 х
definition of limit to prove that lim ,-e3. 3, (a) Use the - (b) Suppose lim g(z) 0 and if(x)| |g(z)| for all z E R. Use the ε-δ definition of limit to prove that lim f(x)=0
definition of limit to prove that lim ,-e3. 3, (a) Use the - (b) Suppose lim g(z) 0 and if(x)| |g(z)| for all z E R. Use the ε-δ definition of limit to prove that lim f(x)=0
(4 points) 3 3 -2 Find the LU factorization of the 3 x 3 matrix A3 5 6 -12 20 22 and use it to solve the system 13 #2 | = 1-23 -88 T1 3 5 6 12 20 22 C3
Use L'Hospital's rule to find the limit
lim(3 – x?) x->0
3. Find the limit. lim X+0 (Inx)2 x (4 pts) exe-x-2x X-sin 4. Find the limit. lim * (4 pts)
3. Calculate the following limit by using the power series of ex 15 3 -e* lim l+x+ 0 24 S х
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
A graphing calculator is recommended. For the limit - 1 = 2 lim x → 0 х illustrate the definition by finding the largest possible values of that correspond to ε = 0.5 and ε = 0.1. (Round your answers to three decimal places.) E = 0.5 8 = 0.215 E = 0.1 8 = Need Help? Read It Talk to a Tutor
Evaluate the following limit. 5х3 – 5х2 + 4х – 3 lim х=-оо –8х3 – 6х2 + 8х +7 Select the correct answer below: o o o o o