Question: Evaluate lim x 1 h ( x ) , where h ( x ) = l n x x 4 - 1 , if the

Evaluate limx1h(x), where h(x)=lnxx4-1, if the limit exists.
NOTE: Enter the exact answer, or round to three decimal places.
If the limit does not exist, indicate that using the check box.
limx1h(x)=
The limit does not exist
Evaluate lim x 1 h ( x ) , where h ( x ) = l n x

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Evaluate the function f(x) at the given numbers (correct to six decimal places). f ( x ) = - X2 - 8x , x = 8.5, 8.1, 8.05, 8.01, 8.005, 8.001, 7.9, 7.95, 7.99, 7.995, 7.999 x2 - x - 56 f(8.5) = f...

Q:

(1) Let f(x, y) = Evaluate lim x - 2242 f(x, y) or show that the limit does not (z,y) -+(0,0) exist by the 2-path test. (2) Let f(x,y) = x2 - xy Evaluate lim 2 2 + yz f(x, y) or show that the limit...

Q:

Evaluate the following limit. Use I'Hopital's Rule when it is convenient and applicable. In x lim X-1 14x - x- 13 Use I'Hopital's Rule to rewrite the given limit so that it is not an indeterminate...

Q:

confused on how to solve this Problem 2. PREVIEW ONLY -- ANSWERS NOT RECORDED (1 point) Let f (x) = 2x2 + 7. Evaluate lim f (4 + h) - f(4) h+0 h (If the limit does not exist, enter "DNE".) Limit =...

Q:

help ! (1 point) Let f(x) = 4x2 + 4. Evaluate lim f ( 2 + h) - f(2) h-0 h (If the limit does not exist, enter "DNE".) Limit =

Q:

3. (A 2+2 Marks) Find the limit, if it exists. a) V3+h- h Find the limit, if it exists: lim . x-125 b ) Find the limit, if it exists: IIm ,-+125 Vx -5 4. (A 2 +C 2 Marks) Graph the function 20-1 ifa...

Q:

SECTION 2.5 Indeterminate Forms 95 2r2 - 9.x - 5 9. lim .12 - 25 10. lim (thy - 1 h -+0 37. If the mass of the ball is one kilogram and it is launched upward with 2x + 1 an initial velocity of 60...

Q:

Seneca 29-Unit 1 Rates of Change Test.pdf A C. 5 a. b . 2 d. does not exist 14. The domain of the function is -4 -2 0 C. a. x2 b. xe R, | x - d. 4. 5. 6. 7. 2 3 11. 12. 13 14 10. 8. 9.Unit 1 Rates of...

Q:

2. In general, does the speedometer of a car measure average or instant rate of change. Describe a scenario in which the average speed and instant speed would be the same. 3. Sketch the curve y :...

Q:

1. Evaluate the limit, if it exists: lim x - 1 x - 1 . (A1.4) a. does not exist C. - O b. 2 d. 2. Evaluate the limit, if it exists: lim 2 - x *+2 x -2 . (A1.2) a. 0 C. -1 b. does not exist 1 3....

Q:

The normal capacity of McDougall Company's Die Cutting Department is 4,500 machine hours per month. At normal capacity, the standard factory overhead rate is $24.80 per machine hour, based on...

Q:

A nurse dissolved 18g of glucose (C 6 H 12 O 6 ) in 200g of H 2 O. Calculate the molality of the solution. (Atomic masses C=12amu , H=1 amu , O=16amu)

Q:

7. Laura is considering taking Calculus I from Professor Rogers. Her friend Gina took Professor Rogers for this class and got an A. Laura concludes that she, too, will get an A from Professor Rogers....

Q:

What are some food related health care issues that inner cities are more likely to see than more affluent areas? Why are certain areas most likely to experience inadequate healthy food options than...