1 1 vote The value of $\lim _{x \rightarrow 8}\left(\frac{x^{1 / 3}-2}{x-8}\right)$ is $1/4$ $1/8$ $1/12$ $1/16$ Calculus isro2016-ece isro-ece engineering-mathematics calculus limits + – sh!va 919 views answer comment Share Follow Print 0 reply Please log in or register to add a comment.
2 2 votes This is the case of 0/0. This can be solved using L'Hospital's rule. Differentiate both numerator and denominator w.r.t. x separately. After differentiation we will get : limit (x->8) ((1/3)X^(-2/3)) now put the value of x in equation as it is free from 0/0 case. After solving it the answer will be 1/12. Nitin Nilesh answered Feb 22, 2017 Nitin Nilesh comment Share Follow 0 reply Please log in or register to add a comment.
0 0 votes https://gateoverflow.in/?qa=blob&qa_blobid=9931864936147590124 arch answered Feb 22, 2017 arch comment Share Follow 0 reply Please log in or register to add a comment.
0 0 votes Apply L hospital, U will get 1 /12 Akash Dinkar answered Feb 22, 2017 Akash Dinkar comment Share Follow 0 reply Please log in or register to add a comment.