Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is suggested that you report answers accurate to at least six decimal places) Let f(x) = (3.7^x - 4.3^x) / x. We want to find the limit lim x -> 0. Start by calculating the values of the function for the inputs listed in this table. x | f(x) 0.2 | 0.1 | 0.05 | 0.01 | 0.001 | 0.0001 | 0.00001 | Based on the values in this table, it appears lim x -> 0 (3.7^x - 4.3^x) / x =
Added by Brian Z.
Step 1
First, we need to find the function values for the given inputs: Show more…
Show all steps
Close
Your feedback will help us improve your experience
Carson Merrill and 101 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is suggested that you report answers accurate to at least six decimal places.) Let f(x) = (cos(6x) - cos(7x))/x^2. We want to find the limit lim x->0 (cos(6x) - cos(7x))/x^2. Start by calculating the values of the function for the inputs listed in this table. x | f(x) 0.2 0.1 0.05 0.01 0.001 0.0001 0.00001 Based on the values in this table, it appears lim x->0 (cos(6x) - cos(7x))/x^2 =
Suman K.
Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is suggested that you report answers accurate to at least six decimal places.) Let f(x) = (cos(8x) - cos(1x)) / x^2. We want to find the limit lim_{x->0} (cos(8x) - cos(1x)) / x^2. Start by calculating the values of the function for the inputs listed in this table: x | f(x) 0.2 | 0.1 | 0.05 | 0.01 | 0.001 | 0.0001 | 0.00001 | Based on the values in this table, it appears lim_{x->0} (cos(8x) - cos(1x)) / x^2 =
Adi S.
Guess the value of the limit (if it exists) by evaluating the function at the given numbers (correct to six decimal places). $\lim _{x \rightarrow-1} \frac{x^{2}-2 x}{x^{2}-x-2}$ $x=0,-0.5,-0.9,-0.95,-0.99,-0.999$ $-2,-1.5,-1.1,-1.01,-1.001$
FUNCTIONS AND LIMITS
The Limit of a Function
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD