1 of 2 online.mun.ca Show all the steps. Please write on only one side of the...

 

 

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1 of 2 online.mun.ca Show all the steps. Please write on only one side of the paper. Late assign- ments will not be graded. 1. Limits. (a) Find the following limits if they exist. If they do no exist, but approach too, indicate this. tan (5x) 2-0 sin(6x) i. lim. ii. lim 3x sin(5x) 2-0 sin(4x) sin(7x) sin (sin(0)) 0-0 cosec(0) 2. Continuity sin(x-2) 22x²-3x+2 iv. lim 2x² + 4x + 6 2-∞ √√5x¹7x³ + 2x+5 - V. lim vi. lim 3r²+10 2r³3-14r +15 (b) Find the horizontal asymptotes of the following function: f(x) 6x +1 x+√4x²+5 1 of 2 (a) Determine if the following functions are continuous at the given point. If discontinu- ous, explain why. i. at x = 2 ㅠ ii. f(x)=tan(2x) at x = x cos() x²+2x-8 x-2 iii. f(x)= f(x) = 0 cos (¹) С for x 0 for ( online.mun.ca for 20 iv. f(x)= 0 for a=0 (b) Is there a constant c, such that the function sin () for a 0 { for = 0 is continuous? If so, find it; if not, say why. I at 0 at = 0 1 of 2 online.mun.ca Show all the steps. Please write on only one side of the paper. Late assign- ments will not be graded. 1. Limits. (a) Find the following limits if they exist. If they do no exist, but approach too, indicate this. tan (5x) 2-0 sin(6x) i. lim. ii. lim 3x sin(5x) 2-0 sin(4x) sin(7x) sin (sin(0)) 0-0 cosec(0) 2. Continuity sin(x-2) 22x²-3x+2 iv. lim 2x² + 4x + 6 2-∞ √√5x¹7x³ + 2x+5 - V. lim vi. lim 3r²+10 2r³3-14r +15 (b) Find the horizontal asymptotes of the following function: f(x) 6x +1 x+√4x²+5 1 of 2 (a) Determine if the following functions are continuous at the given point. If discontinu- ous, explain why. i. at x = 2 ㅠ ii. f(x)=tan(2x) at x = x cos() x²+2x-8 x-2 iii. f(x)= f(x) = 0 cos (¹) С for x 0 for ( online.mun.ca for 20 iv. f(x)= 0 for a=0 (b) Is there a constant c, such that the function sin () for a 0 { for = 0 is continuous? If so, find it; if not, say why. I at 0 at = 0