Question
Asked Mar 12, 2019
4 views

Evaluate the following limit numerically, if it exists.

2(x-3
lim
help_outline

Image Transcriptionclose

2(x-3 lim

fullscreen
check_circle

Expert Answer

Step 1

To evaluate the given limit numerically.

As x tends to 3, both numerator and denominator tends to zero. Since in the numerator 2(3-3)3=0 and in the denominator tan(pi) = 0.

As we are getting an indeterminate form 0/0, apply L'Hospital's rule. That is to differentiate the numerator and differentiate the denominator and then take the limit.

Step 2

Apply the L'Hospital's rule and f...

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: Determine if y=e2x −x+1 is a solution to y′−2x=−3+2y.

A: The given differential equation is  y′−2x=−3+2y.The solution of the deferential equation is given as...

question_answer

Q: Find the derivative of y with respect to x.

A: Given:The function 

question_answer

Q: Calculate S3, S, and S5 and then find the sum for the telescoping series 410 n3n1 n +2 n-3 where Sk ...

A: to determine the first few partial sums and the sum to infinity of the given telescoping series

question_answer

Q: For the year data given in the chart find a power function that is used to model the Lorenz function...

A: A power function is of the form,y = axbWe can take log to the natural base “e” on the both the sides...

question_answer

Q: graph quadratic function f(x) = -3x2- 12x -1

A: Consider the given equation

question_answer

Q: Solve for complex x. e^(x^2+4x)=8

A: Solve the equation e^(x^2+4x) = 8 for complex x as follows.

question_answer

Q: Consider the region bounded above by g(x)=−9x−9 and below by f(x)=x2 −9x−18. Find the area, in squar...

A: Calculation:The given curves are f(x) = – 9 x – 9 and g(x) = x2 – 9x – 18.The area enclosed by two c...

question_answer

Q: Use the substitution formula Integral from a to b f left parenthesis g left parenthesis x right pare...

A: Obtain the value of the integral as follows.

question_answer

Q: b. Find the area of the region bounded by Y = xe ax and the x-axis on the interval 0,41, where a> 0....

A: Area of region which is bounded by f(x) and x-axis on [0,4] computed as follows.