Given that lim f(x) = - 8 and lim g(x) = 7, find the following limit. x2 X2 lim [4f(x) + g(x)] X2 lim [4f(x) + g(x)] = X2 (Simplify your answer.)
Find the limit -1912 lim,
Problem 5: (15 points) (a) Find the limit sin(2x)-2c lim ェ→0 (b)Find the limit lim (sin1/x-/2) ι π /2
Problem 5: (15 points) (a) Find the limit sin(2x)-2c lim ェ→0 (b)Find the limit lim (sin1/x-/2) ι π /2
Find the limit or explain why it doesn't exist:
3. (8 marks) Find the limit or explain why the limit does not exist: (a) lim 1 + x - V1 - 2 2 (b) lim 2-3 2+2 2----2
Find the limit of the following. lim (V9x2 + 7x - V9x2 – 3x) lim (9x2 +7x - V9x2 - 3x) - X-00 (Simplify your answer.) t + 3t - 208 Find lim -13 - 169 + + 3t - 208 lim 1-13 - 169 (Type an integer or a simplified fraction.) Define f(7) in a way that extends f(s)= S-343 2 to be continuous at s = 7. s -49 f(7)- (Type an integer or a simplified fraction.) x+5...
Let lim f(x) 15 and lim g(x)=5. Use the limit rules to find the following limit. x-+5 x- 5 lim [fx)-g(x) X 5 lim [f(x)-g(x)) x 5 (Simplify your answer.)
Let lim f(x) 15 and lim g(x)=5. Use the limit rules to find the following limit. x-+5 x- 5 lim [fx)-g(x) X 5 lim [f(x)-g(x)) x 5 (Simplify your answer.)
Assume lim f(x) = 8 and lim g(x)=6. Compute the following limit and state the limit laws used to justify the computation. limf(x)g(x) + 16 limx19(x) + 16 = (Simplify your answer.) Select each limit law used to justify the computation. D A Constant multiple B. Quotient C. Power D. Root E Product F. Difference O Sum
Find the limit, if it exists, or show that the limit does not exist. 1. lim (x²y3 – 4y?) (2,y)+(3,2) 2. lim 24 - 4y2 (x,y)+(0,0) x2 + 2y2 3. Find the first partial derivatives of the function of f(x,y) = x4 + 5.cy 4. Find all the second partial derivatives of f(x,y) = x+y + 2.x2y3 5. Find the indicated partial derivatives. f(1, y) = x^y2 – røy ; farzz, fryz
15. If limg tf(x) - 16, then find the following limit lim sin(π .
15. If limg tf(x) - 16, then find the following limit lim sin(π .
Find the limit and show steps if doesn't exist please
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(a) lim -3.x2 + 8 X400 5x2 + 12x (b) lim 3 + 7:22 2x – 9 0-00 Use the limit definition of the derivative to find f'(x) if f(x) = x2 + 50.