(4) Find the indicated limits, if they exist: (12 points) 5.r-20 1-2 (b) lim- COST (d) lim.--2-5x+6
Step 7 of 9 Find lim f(x) by looking at the right-hand and left-hand limits as x approaches 0. X-O x? - 49 lim f(x) = lim x-0 xto x² + 7x X and the denominator approaches As X - 0 , the numerator approaches zero by negative numbers Ther Enter a number. x2 - 49 +00 lim x-o- x² + 7x X and the denominator approaches As x - 07, the numerator approaches zero by positive numbers Therefore x²...
1. (10 points) Find the following limits, if they exist. a) lim X+2 x 7.-3+ x +3 b) lim XCSCX x → 211
Determine the following limits (if they exist) - (3 points ca 4. lim *-|-x+ 4x4] 14+2 --- 5. lim √5 - x-5 √x-5 6. lim-7x-12
Given that lim f(x) = 3, lim g(x) = 0, and lim h(x) = 5, find the limits that exist. Enter DNE if the limit doesn't exist help (limits) (a) lim f(x) + h(x)] = 8 (b) lim{f(x)} = 9 (c) lim yh(x) = 5^(1/3) help (limits) !!! help (limits) help (limits) In help (limits) help (limits) f(3) (2) (9) lim !!! help (limits) 3-a g(x) 2f(x) !! help (limits) h(x) - f(x)
Evaluate the following limits: x2 +7x - 14 a) lim 2x-5 b) lim tan(3x) - X = c) lim X+0 4x2-3r d) lim a "270 3x - 3xcos(2x) 2x2 sin(3x)
2.) Find the limit or show it does not exist V1 + 4x6 lim x-- 2 - 83
(1/x) does not exist but that lim cos(1/x) = 0 a) Prove that lim cos x-+0
(1/x) does not exist but that lim cos(1/x) = 0 a) Prove that lim cos x-+0
(3) 6 +0 (a) Determine the following limits (if they exist) (1) lim sin 0+tan 36 0 1- (u) lim 1-1 1-3 5 + 3t (11) lim 143 (+3+ 2t2 - 3 (3) (3) (1v) lim 2-2+ (3) -at - bt + ab (v) lam +62 + 2abt - 4202), a, b are real numbers
12 lim f(x), and lim f(x) Use oo or - co when appropriate ra x-a Find all vertical asymptotes, x= a, of the following function For each value of a, evaluate lim f(x) x-a x2 - 10x +21 f(x) = x2 - 7x + 12 Select the correct choice below, and fill in the answer box if necessary OA The vertical asymptote is x = The limits at this vertical asymptote are lim f(x)= xa lim f(x) xa and tim...