1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ket [755]
3 years ago
13

use a numerical method to estimate the value of the limit (if it exists.) Lim e^5t -1 /t as x tends to 0 from both sides​

Mathematics
1 answer:
charle [14.2K]3 years ago
8 0

Hello from MrBillDoesMath!

Answer:

5

Discussion:

Consider the expansion of e^x:

e^x = 1 + x + x^2/2 + x^3/6 +......            =>      replace x by 5t

e^(5t) = 1 + (5t)  + (5t)^2/2 + ....              =>      subtract 1 from both sides

e^(5t) - 1 = (5t) + (5t)^2/2+....                  =>      divide both sides by t

(e^(5t) -1)/ t = 5 + (25/2)  t +....

so as t ends to 0  the quotient tends to    

5 + (25/2)0 + (other terms) *0   ->   5

Thank you,

MrB

You might be interested in
The measure of a side of a square is x units. A new square is formed with each side 6 units longer than the original square's si
den301095 [7]
(x+6)(x+6) is the equation to find the area of the second square
6 0
2 years ago
Find the distance between the two points (2,5) and (6,-1)
Reptile [31]

Answer:

= \sqrt{52} units

Step-by-step explanation:

x₁ = 2 ; y₁ = 5

x₂ = 6 ; y₂ = -1

D = \sqrt{(x₂ - x₁)² + (y₂ - y₁)²}

   =\sqrt{(6 - 2)² + (-1 -5)²}

   =\sqrt{4² + (-6)²}

   = \sqrt{16 + 36}

D = \sqrt{52} units

7 0
3 years ago
Read 2 more answers
What is the largest angle of WXY?
marin [14]

Answer:

This is because the longest side in triangle WXY is side XY (15 units), therefore making the largest angle in that triangle, angle XWY, or angle W.

Step-by-step explanation:

4 0
2 years ago
Suppose the tree diagram below represents all the students in a high school
Lunna [17]

Answer:

Ok to find the probity we add the amount of boys and the amount of girls together to get 500 and out of these 100 are left handed so 1/5 also know as 20%

Hope This Helps!!!

8 0
3 years ago
What is the square root of 465​
kaheart [24]

Answer:

The square root of 465 with one digit decimal accuracy is 21.5.

Step-by-step explanation:

√465 = 21.5

3 0
2 years ago
Read 2 more answers
Other questions:
  • I have another question as well!
    11·1 answer
  • What is the answer to 6+10(-6-4v)-9v
    6·1 answer
  • Which statement is true about the polynomial 3x^2y^2-5xy^2-3x^2y^2+2x^2
    12·1 answer
  • How would you draw a picture to find 3 ÷ 1/2
    10·1 answer
  • What is the common difference of 7, 3,-1,_,_,-13​ and the missing terms
    15·1 answer
  • Use the substitution method to solve the system of equation.choose the correct ordered pair. y=3x+2 y=x+12
    14·1 answer
  • PLS HELP I WILL DO ANYTHING!!!!
    6·1 answer
  • PLEASE HELP ITS DUE IN 7 MINUTES!​
    12·1 answer
  • What is the y-intercept on the equation:<br> y= 3/4x - 1
    15·1 answer
  • Why do we not use closed parentheses/brackets for positive and negative infinity?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!