Find the value of is
Function of Several Variables
Limit of a function of several variables
Answer:
IIT JAM 2016 (Problem 6)
Function of several variables: Fleming, Wendell H
So, this problem has double limit. But we will not consider this first i.e., first try to solve the above limit without seeing , just like we used to do in our school days!!!
Here also we cannot put directly, as it will become undefined.
Now,
[Multiplied by
on numerator and denominator ]
Now again, try to simplify the above limit !!!
After simplifying,
We have,
[ Since
]
Now in this part we will use the limits, i.e.,
[ANS]
Find the value of is
Function of Several Variables
Limit of a function of several variables
Answer:
IIT JAM 2016 (Problem 6)
Function of several variables: Fleming, Wendell H
So, this problem has double limit. But we will not consider this first i.e., first try to solve the above limit without seeing , just like we used to do in our school days!!!
Here also we cannot put directly, as it will become undefined.
Now,
[Multiplied by
on numerator and denominator ]
Now again, try to simplify the above limit !!!
After simplifying,
We have,
[ Since
]
Now in this part we will use the limits, i.e.,
[ANS]