###### Answer: C. 16

Intuitively a function is a process that associates each element of a set X to a single element of a set Y.. Formally a function f from a set X to a set Y is defined by a set G of ordered pairs ( x y) such that x ∈ X y ∈ Y and every element of X is the first component of exactly one ordered pair in G . In other words for every x in X there is exactly one element y such that the …

So h( x ) defined as f(g ( x )) = S(S( x )) is a primitive recursive 1-ary function too. Informally speaking h ( x ) is the function that turns x into x +2. Primitive recursion : Given f a k -ary primitive recursive function and g a ( k +2)-ary primitive recursive function the ( k +1)-ary function h is defined as the primitive recursion of f …

Otherwise use the transformation in the table below to evaluate the limit. Expressions that are not indeterminate forms Edit The expression 1 / 0 {\displaystyle 1/0} is not commo…