Question
Evaluate:
Answer :
Word Count : 118
________ ___ ______ _____ ____.
______ ____ _______ ____ ________.
_________ _______ _______ ________ ____.
________ __________ _______ _________ _______ ____ _________.
_____ ______ __________ _______ ________ ________ _______ ______ _______ ____ ________.
______ ___ ________ ____ ________ _________ _____.
______ __________ ___ _____ ___ _______ ____ ___ ________ _________.
_________ ____ ___ ______ ___ ___ ________ ________ _______ ___.
______ _______ ______ ______ _________ ___ ______ _______ ________.
Skip in 10
We are asked to evaluate: [ \lim_{x \to 0} \frac{\tan x - \sin x}{x^3}. ] First, recall the Taylor expansions around (x = 0): [ \sin x = x - \frac{x^3}{6} + O(x^5), \quad \tan x = x
______ ______ __________ ___ ______ ______ ___ _________ ___ ______ _______.________ ___ ______ _____ ____.
______ ____ _______ ____ ________.
_________ _______ _______ ________ ____.
________ __________ _______ _________ _______ ____ _________.
_____ ______ __________ _______ ________ ________ _______ ______ _______ ____ ________.
______ ___ ________ ____ ________ _________ _____.
______ __________ ___ _____ ___ _______ ____ ___ ________ _________.
_________ ____ ___ ______ ___ ___ ________ ________ _______ ___.
______ _______ ______ ______ _________ ___ ______ _______ ________.
IGNOU ACADEMY
Your IGNOU journey, made easier.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
Continue Reading — It's Free
Sign in with Google to unlock more of this answer.
✓ Free access
✓ Unlock up to 60% of the answer
✓ No payment required
✓ Unlock up to 60% of the answer
✓ No payment required
Quick Google sign-in. No separate registration form.
Related Questions
If , then show that
. Hence using Leibniz's formula, find the value of (1 - x2)yn+2 - (2n + 1)xyn+1.
Find the area between the curve and its asymptote parallel to y-axis.
) .
The set is an infinite set.
. Which of the following statements are true or false? Give reasons for your answer in the form of a short proof or a counter-example, whichever is appropriate.
Trace the curve , clearly stating all the properties used for tracing it.
) Express as a sum of partial fractions.