Answer :
To find the limit of a constant function as [tex]\( x \)[/tex] approaches a specific value, we follow these steps:
1. Understand the Function: The given function is [tex]\( f(x) = 16 \)[/tex]. This is a constant function, meaning it always outputs the same value, no matter the input [tex]\( x \)[/tex].
2. Evaluate the Limit: Since [tex]\( 16 \)[/tex] is a constant and does not change with [tex]\( x \)[/tex], the limit of a constant as [tex]\( x \)[/tex] approaches any value will be the constant itself.
Thus, as [tex]\( x \)[/tex] approaches [tex]\( 2 \)[/tex], the value of the function remains [tex]\( 16 \)[/tex].
Therefore,
[tex]\[ \lim_{{x \to 2}} 16 = 16 \][/tex]
So, the limit is [tex]\( 16 \)[/tex].
1. Understand the Function: The given function is [tex]\( f(x) = 16 \)[/tex]. This is a constant function, meaning it always outputs the same value, no matter the input [tex]\( x \)[/tex].
2. Evaluate the Limit: Since [tex]\( 16 \)[/tex] is a constant and does not change with [tex]\( x \)[/tex], the limit of a constant as [tex]\( x \)[/tex] approaches any value will be the constant itself.
Thus, as [tex]\( x \)[/tex] approaches [tex]\( 2 \)[/tex], the value of the function remains [tex]\( 16 \)[/tex].
Therefore,
[tex]\[ \lim_{{x \to 2}} 16 = 16 \][/tex]
So, the limit is [tex]\( 16 \)[/tex].
