Question

lim x tends to 0 (3^2+x - 9)/x by general method ​

Answer 1

Answer:

Factorise and simplify the function.

limx→3(x−3)(x+3)x−3=limx→3(x+3)=6

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Answer 2

$\star\:\:\:\sf\large\underline\blue{Answer:-}$

$\sf \displaystyle \lim_{x \to0} \bigg( \frac{ { 3 }^{2} + x - 9}{x} \bigg)$

$= \sf \displaystyle \lim_{x \to0} \bigg( \frac{ 9 + x -9}{x} \bigg)$

$= \sf \displaystyle \lim_{x \to0} \bigg( \frac{x}{x} \bigg)$

$= \sf \displaystyle \lim_{x \to0} ( 1)$

$= 1$