Question

The two path is useful only for
The Two Path Test is useful only for
(a) Non- existence of limit.
(b) continuity
(c) differentiability.
(d) None of the above.
O
non existence of limit
O
continuity
O
differentiabilty
none of these​

Answer 1

Option (C)

Step-by-step explanation:

(C) differentiability

Answer 2

Answer:

The Two Path Test is useful only for determining  Non- existence of limit.

Step-by-step explanation:

Two-path test for the non-existence of limits Theorem: If a function

$f: D \subset \mathbb{R}^{n} \rightarrow \mathbb{R} , with n \in \mathbb{N} , has two different limits along two different paths as P approaches \hat{P} , then \lim _{P \rightarrow \hat{P}} f(P) does not exist.$

Remark: When side limits do not agree, the limit does not exist.