Sin tan = Cos Problem 2, For each of the following functions f(x) evaluate lim-+0 f (x). Then determine the horizontal asymptotic. lim 1. f(x) arctan(x) archn (x) : T½ HA:y=%2 HA:y:"%2 X 00 sin(x) sin(a) = lim 2. f(x) = X+ 00 3. f(x) = 10x10+2x 8x15+15 + lim 10 x 2x 700 8x5 IS HA:y=0 4. f(x) = V3r² +4 x+8n %3D 3e" -4 5. f(x) = 5e" +2 Lim 3x + 4 3x + 4 3 + Lim Lim 8n In en

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A: Use L hospital rule

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A: We will apply L' Hospital rule for indeterminate forms of limit

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A: NOTE: Refresh your page if you can't see any equations. . the given formula is  now apply limit

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A: Explanation of the answer is as follows

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A: We apply l- hospital rules and solve it. Follow 2nd step.

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A: Given: limx→0ex2-1sin1x+9cosx we know that  limx→0ex2-1=0 and  limx→0sin1x=-1 to 1 so,…

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A: We have to solve given problem:

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