19-22 Guess the value of the limit (if it exists) by evaluating the function at the given numbers (correct to six decimal places). x- 2x 19. lim 2x-x- 2' x= 2.5, 2.1, 2.05, 2.01, 2.005, 2.001, 1.9, 1.95, 1.99, 1.995, 1.999
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- Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is suggested that you report answers accurate to at least six decimal places.) Let f(x)= cos(9x)−cos(10x)/x2 We want to find the limit limx→0 cos(9x)−cos(10x)/x2Start by calculating the values of the function for the inputs listed in this table. x x f(x)f(x) 0.2 0.1 0.05 0.01 0.001 0.0001 0.00001 Based on the values in this table, it appears limx→0 cos(9x)−cos(10x)/x2=?Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is suggested that you report answers accurate to at least six decimal places.) Let f(x)=cos(9x)-cos(5x)/x2 We want to find the limit limx→0 cos(9x)−cos(5x)/x2Start by calculating the values of the function for the inputs listed in this table. x x f(x)f(x) 0.2 0.1 0.05 0.01 0.001 0.0001 0.00001 Based on the values in this table, it appears limx→0 cos(9x)−cos(5x)/ x2Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is suggested that you report answers accurate to at least six decimal places.) Let f(x)=cos(9x)−cos(2x)/x^2 We want to find the limit limx→0 cos(9x)−cos(2x)/x^2 Start by calculating the values of the function for the inputs listed in this table. x f(x) 0.2 0.1 0.05 0.01 0.001 0.0001 0.00001 Based on the values in this table, it appears limx→0 cos(9x)−cos(2x)/x^2=
- Use L' Hopital's to find the limit as x approaches positive infinity of: (e^(3x))/(x^(2)) I hope you have a nice day!find the limit: limx→∞ (ln x)^3 / x^2 find the point(s) on the hyperbola y^2-x^2=4 that is/are closest to the point (2,0)H(3)=6 and the limit as x approaches 3 of H(x) is 6. Mustache be continuous at (3,6)? State why.
- Guess the value of the limit (if it exists) by evaluating the function at the given numbers. Report answers accurate to six decimal places. cos(3x) cos(8x) Let f(x) = - x² We want to find the limit lim x->0 cos(3x) - cos(8x) x² Start by calculating the values of the function for the inputs listed in this table. f(x) 0.2 0.1 X 0.05 0.01 0.001 0.0001 0.00001 Based on the values in this table, it appears lim x-0 cos(3x) cos(8x) x²15.2.65 #22 Use the method of your choice to evaluate the following limit. lim y ln y/x = (x,y)→(4,0)A tank contains 1300 L of pure water. The solution that contains 0.01 Kg of sugar per liter enters the tank at the rate of 7L/min. and is thoroughly mixed into it. The new solution drains out of the tank at the same rate. (a) How much sugar is in the tank at the beginning? y(0)= to( Kg (b) Find the amount of sugar after t minutes. y(t) = (kg) (c) As t becomes large what value is y(t) approaching? in other words, calculate the following limit lim t-oo y(t)= (kg)
- Q2)valuate the limit: Limit x approach to 2 [sin(pi.x)]/[x^2-x-2]The hyperbolic cosine function, denoted cosh x, is used to model the shape of a hanging cable (a telephone wire, for example). It is defined as cosh x = e^x + e^-x / 2. a. Determine its end behavior by evlauating the limit of cosh x from x from positive inifinity and the limit of cosh x from x from negative inifnity. b. Evaluate cosh 0. cosh 0 = Use symmetry and part (a) to sketch a plausible graph for y = cosh x.Find the limit x+ x cos x lim X → 0 Sn x cos x