f(x)=sin5x/2x
what is the limit as x approaches 0?
Let f(x, y) = (2x ^2y) /(x^4 + y^2) . We will investigate limiting behaviour of this function as (x, y) approaches (0,0). (a) Show that if we approach origin along any line that passes through the origin, f approaches to 0. (b) Approach the origin along the curve y = x 2 , what does f approach to? (c) Does f have limit at the origin? (d) What is the conclusion? Comment on the result.
ty f) -1 0 2 The above diagram is a plot of a function f(x) Is f(x) continuous at 0 and why? Choose the best response below: Yes, the function is continous at x=0, as it has a two-sided limit as x approaches 0, which is equal to f(0) itself No, because the function does not have a two-sided limit as x approaches 0 No, because the function is not defined at x0. No, because the limit of the function...
3. Find the limit. lim X+0 (Inx)2 x (4 pts) exe-x-2x X-sin 4. Find the limit. lim * (4 pts)
F'(x) < 0 if 0<x< 2or x > 4 f"(x)>0if1<x<3, F"(x)<0if x<lor x>3 4. Find the limit. lim(1-2x) 10 5. What is the minimum vertical distance between the parabolas y = x + 1 and y=x-r 4.pdf
A loss random variable has density function f ( x ) = 2- 2x for 0 < x < 1. At what level should a policy limit be set so that the expected insurer payment is one-half of the overall expected loss?
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
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
Evaluate the limit lim x→5 x^2 −2x−15/ x^2 −25 Evaluate the limit lim x→∞ x^2 + x /x^5 c. Find all points on the graph of f(x) = 2x^3 −x where the tangent line is parallel to the line y = 149x + 7.
Suppose the polynomial f (x) has the following end behavior: as x approaches infinity, f(x) approaches infinity, and as x approaches negative infinity, f (x) approaches negative infinity. Which of the following polynomials could represent f(x)? There may be more than one correct answer. Select all correct answers. 0-23 0-2x3 - #3 - 4x 7x5 + 4x2 0x2 + x - 3 Ox+8 x3 + 10x2 – 5x + 5
ra Use a graphing utility to complete the table and estimate the limit as x approaches infinity. Then use a g f (x)--3x2- x + 2 10 10 10 10 f (x) 1.5 10 10 T | 29,4| 42.6| 50.5 5aj 58.9 75 90 1051 120 63,0 66,4| 67.3 | 60.0 for the data(Round your coeficents to hee (a) Use the regression capabilities of a graphing ulity to find a model of the form T,-tbe b) Use a graphing utlty...