Question
Approximate e^-0.6 to 3 decimal places.
I am not sure how to approach this without a calculator. I don't think we are allowed to use a calculator but I'm not 100% sure on that either.
I am not sure how to approach this without a calculator. I don't think we are allowed to use a calculator but I'm not 100% sure on that either.
Answers
well, it is easy enough with a calculator; there's an e^x button.
can you use Taylor Series?
e^x = 1 + x + 1/2 x^2 + 1/6 x^3 + ...
1 + (-.6) = 0.4
1 + (-.6) + (-.6)^2/2 = 0.58
...+(-0.6)^3/3!+(-0.6)^4/4! = 0.5494
...+(-0.6)^5/5!+(-0.6)^6/6! = 0.5488
what other approximation tools are available to you?
can you use Taylor Series?
e^x = 1 + x + 1/2 x^2 + 1/6 x^3 + ...
1 + (-.6) = 0.4
1 + (-.6) + (-.6)^2/2 = 0.58
...+(-0.6)^3/3!+(-0.6)^4/4! = 0.5494
...+(-0.6)^5/5!+(-0.6)^6/6! = 0.5488
what other approximation tools are available to you?
We haven't learned the Taylor Series. But it's okay! Luckily enough we're allowed to use a calculator :) Thank you!
Related Questions
Let f(x)=e^(x2). By the Mean Value Theorem, there exists a point c such that
f′(c)=f(6)−f(4)6−4...
What is the approximate volume of a sphere with a radius of 7.16 cm? Use 3.14 to approximate pi and...
Use Newton’s Method to approximate 3^(√7) to four decimal places.
Use x1 = 2 as your seed. Round of...