Question
Asked Feb 8, 2019
22 views

Find the limit using l’Hospital’s rule
(4x-sin(4x))/(4x-tan(4x))

check_circle

Expert Answer

Step 1

The limit to be evaluated is as shown on the white board. 

fullscreen
Step 2

Since the limit of numerator and denominator both achieves a value of 0 as shown on the white board, the overall limit is of the form 0/0. Hence, let's apply L'Hospital rule. 

fullscreen
Step 3

The L'Hospital's rule is as shown on the white board. 

f'(x) = 4−4cos4x; g'(x) = 4−4sec24x

...
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Limits

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Please help me solve this differential equation and identify P(x), Q(x) and v(x).

A: First we rearrange the equation and find P(x) and Q(x)

question_answer

Q: Perform a first derivative test on the function f(x) 2x3x-12x +6, [-2,4]. a. Locate the critical poi...

A: (a)Locate the critical points of the given function f(x)=2x3+3x2–12x+6 on the interval [–2,4]. 

question_answer

Q: Water drains from the conical tank at the rate of 5ftmin 14. 4 10 Exit rate: 5 ft/min a. What is the...

A: By using the concept that the sides of similar triangles are proportional, therefore, the ratio of r...

question_answer

Q: A train is initially traveling at a rate of 5 miles per hour. The acceleration of the train is 5 mil...

A: Given: The acceleration of the train is 5 miles per hour squared. That is, a(t) = 5.The initial velo...

question_answer

Q: How can I get the result? Which is the result?

A: (a)we are given a function 

question_answer

Q: Find the relative maxima, relative minima, and points of inflection and sketch the graph for the fun...

A: We have to find the relative maxima, relative minima, and points of inflection and sketch the graph ...

question_answer

Q: Help with #9

A: For a given curve r(t), the tangential component aT and the normal component aN are given by express...

question_answer

Q: How can I get the result? Which is the result

A: To find two positive numbers whose sum is 210 and whose product is a maximum.(a) Analytically comple...

question_answer

Q: Evaluate the following integral.

A: The given integral is,