Sarthaks Test
0 votes
7 views
ago in Limits by (30.3k points)
closed ago by

Evaluate the following limit : \(\lim\limits_{\text x \to 3}\cfrac{\text x^2-\text x-6}{\text x^3-3\text x^2+\text x-3} \)

lim(x→3) (x2 - x - 6)/(x3 - 3x2 + x - 3)

1 Answer

+1 vote
ago by (29.7k points)
selected ago by
 
Best answer

Since the form is indeterminant

\(=\cfrac00\)

Method 1: factorization

Method 2: By L hospital rule:

Differentiating numerator and denominator separately:

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...