Find the limit of the function by using direct substitution.limit as x approaches zero of quantity x squared minus one.

ANSWER[tex]lim_{x \to \: 0}( {x}^{2} - 1) = - 1[/tex]EXPLANATIONThe given limit is[tex] lim_{x \to \: 0}( {x}^{2} - 1) [/tex]To evaluate this limit by direct substitution,We put x=0 in the function.This implies that that ,[tex] lim_{x \to \: 0}( {x}^{2} - 1) = {0}^{2} - 1[/tex]This simplifies to,[tex] lim_{x \to \: 0}( {x}^{2} - 1) = 0 - 1[/tex][tex] lim_{x \to \: 0}( {x}^{2} - 1) = - 1[/tex]This means that as x-values approach zero, the function approaches -1.