Question

2x2 + 4.1 - 6 L-4. Given R(x) = 72 +5.0 +6 Wo lam 14/20,... Find the following limits. If one-sided limits are required to find the values, state the one-sided limits as well. If the value does not exist, write DNE with a justification. (a) lim R(x) Wo lam (b) lim R(q) Wo lamhe audia Screen SI 2020-0...36. (c) lim R(x) Wo lamhef

if one sided limits are required to find the values please state the one sided limits. plus if value doesn't exist give proper justification. thank you.

Answer 1

RW = 202 +48-6 n²+50 +6 Qu²_ 2n + bu-6 x²+ 3x + 2m +6 Qu(n-1) +G(0-1) alu+3)+26uto) Carto (2-1) (utz) (443) = Q (x+3) (N-V) (2+27(0+3) R(W) = &(n-1) CM+2) (a) lim n-7-3 R(n) n -3 No, zero at u=-3, one sided limit will be enough - im Rem) a 21-3-1) -8 .8 1703 (-3+27 6) lime R(u), a 7-a I zero. Have to find both sides units | Lell Hand limit - blet us-2-b, where hyo in R(nl=2(-2-68-1) = a(-3-6) n-70 (-8-2+2) - lim nto R(M) = 6 +2 as Cim RCM) a hoo . LHL = 2

Right hand limit - n=-2th where lim Rows &(-9th-1) to 1 - 6+2b lim htо R Q (-2th-1 (-ath +9) -6+25 2 - 6 + 2 Cim R(M) -6 12 hoo -- R42 = -x. left hand limit & Right hand ni limit does not exist limit Ice, lis 1-71 R(u). left hand limit- وجه عموم ماحيا .ط-اید com ने Rem) = 2(l-hal) licht) -25 3 -5 I b lim R(n) = -2xo a o hto 3-0 Right hand limit - . n = 14h. where to lim Rem)= a11th-1) = ho 1 [ith+S) 3th lim pana дахь nto 340 lan left hand limit = Right hand time en limit exist.