assess-the-validity-of-the-following-statement-and-provide-a-reasoning-assume-dd

Question

Assess the validity of the following statement and provide a reasoning. Assume $d$ and $P$ are finite numbers.

If ${\displaystyle\lim_{z o d}k\left(z ight)=P}$ , then $k\left(d ight)=P$ .

Accepted Answer

False, because the limit of the function as $d$ approaches $P$ does not necessarily imply that the function's value at $d$ is equal to the limit.

Answer

True, because the function value at $d$ must match the limit of the function as $P$ approaches $d$ .

Answer

True, because the function is continuous at $d$ .

Answer

False, because the limit cannot be determined.

Assess the validity of the following statement and provide a reasoning. Assume ddd and PPP are finite numbers.If limz→dk(z)=P{\displaystyle\lim_{z\to d}k\left(z\right)=P}z→dlimk(z)=P, then k(d)=Pk\left(d\right)=Pk(d)=P.