Question: Evaluate the following limits using l ' H pital ' s Rule: lim x 0 x - s i n ( x ) x 3

Evaluate the following limits using l'Hpital's Rule:
limx0x-sin(x)x3
limxx3ex
Evaluate the following limits using l ' H pital '

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 limit lim 12xe 4 using L H pital s rule x x After applying L H pital s rule the limit becomes fill in a function lim x x Then the answer is fill in a number

Q:

Consider the following lim 3x In x X 0 a Describe the type of indeterminate form if any that is obtained by direct substitution O oo 8 8 O O O O O 0 00 1 0 858 0 88 O 0 O not indeterminate b Evaluate...

Q:

Quest no Evaluate the limit using L H pital s rule X e 2x 1 6x lim x 0 Evaluate the limit using L'Hpital's rule lim

Q:

Evaluate the limit using L H pital s Rule if necessary If the limit is infinite enter o or as appropriate If the limit does otherwise exist enter DNE sin 2x lim x 0 sin 3x

Q:

Evaluate the following limit Use T H pital s Rule when it is convenient and applicable log 8X log 6x lim X 00 lim X 00 log 8x log 6x Type an exact answer COO a

Q:

Use a calculator to make a table to approximate the following limit Confirm your result with l H pital s Rule lim 1 3h h 0 Complete the table below Round to four decimal places as needed h 10 1 10 2...

Q:

Evaluate the limit using L H pital s rule 7x lim X18 e5x Evaluate the limit using L'Hpital's rule lim e5.T

Q:

Evaluate the limit using L H pital s rule 5x lim xx 3x 818 Evaluate the limit using L'Hpital's rule lim e.3x

Q:

State L' Hospital rule. Evaluate the following limits using L' Hospital rule i) lim,-(e* x2) ii) lim, o (1+ sin x)*

Q:

1. Explain what a derivative of a function represents: Mark: 3 2. Explain how the product rule can be used instead of the quotient rule on the function: y = (3 + x) / (2x - 9) Mark: 3 3. For the...

Q:

Create a forest plot for these results.

Q:

I want to bring air at 35oC, = 40% to a state of 25oC, = 0.01 do I need to add or subtract water?

Q:

Partnerships are applicable when there are more than three owners, while proprietorships are used when there are three or fewer owners.

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...