Gate Exam Category

Find the value of lim(x tends to infinite) a^b

where a= 1+x^2
b= e^(-x)

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Gate Other Question

There is a full binary tree with 200 leaf nodes then find the number of such nodes who has exactly 2 child nodes. Number of four digits number having their digits in non-decreasing order(from left to right)
constructed by using the digits belonging to the set {1,2,3} is