4. Find the following limits analytically (i.e., without using a graph or table). Show work to...

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4. Find the following limits analytically (i.e., without using a graph or table). Show work to support your answers. a) 4-x lim x-42-x b) lim (1-) x 0 + \\x x2 c) lim x-4x+4 x2 x + x - 6 d) e) lim 12x8 - 5 x 3x8 - 2x3 5. For the function lim sin x cos x x COS x - sin x T 4 X f(x) 4x+1 2x + 1 a) Analyze lim f(x) and lim f(x) and then identify any horizontal asymptotes. X-00 X->>-00 b) Find the vertical asymptotes. For each vertical asymptote x = a, analyze lim f(x) and lim f(x). x-a- xa+ 3 4. Find the following limits analytically (i.e., without using a graph or table). Show work to support your answers. a) 4-x lim x-42-x b) lim (1-) x 0 + \\x x2 c) lim x-4x+4 x2 x + x - 6 d) e) lim 12x8 - 5 x 3x8 - 2x3 5. For the function lim sin x cos x x COS x - sin x T 4 X f(x) 4x+1 2x + 1 a) Analyze lim f(x) and lim f(x) and then identify any horizontal asymptotes. X-00 X->>-00 b) Find the vertical asymptotes. For each vertical asymptote x = a, analyze lim f(x) and lim f(x). x-a- xa+ 3