Evaluate
Question:

Evaluate

$\lim _{x \rightarrow 1}\left(6 x^{2}-4 x+3\right)$

 

Solution:

To evaluate:

$\lim _{x \rightarrow 1}\left(x^{2}-4 x+3\right)$

Formula used: We have,

$\lim _{x \rightarrow a} f(x)=f(a)$

As $x \rightarrow 1$, we have

$\lim _{x \rightarrow 1}\left(x^{2}-4 x+3\right)=1^{2}-4(1)+3$

Thus, the value of $\lim _{x \rightarrow 1}\left(x^{2}-4 x+3\right)$ is 0 .

 

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