Question

lim(r? -9) 3 lim 2x = 6 4 EXERCISE 4 TH Find the values of following​

Answer 1

Answer:

see the attachment please

Given,

$\displaystyle\lim_{x \to 2 } \: \frac{ {x}^{2} - 4}{x - 2} \\ \\ = \displaystyle\lim_{x \to 2 } \frac{ {x}^{2} - {2}^{2} }{x - 2} \\ \\ \pink{ \bf \: we \: know \: that} \\ \\ \orange{ \boxed { \dag \: \displaystyle\lim_{x \to a} \frac{ {x}^{n} - {a}^{n} }{x - n} = n . {a}^{n - 1} }} \\ \\ \sf \: so \: by \: comparing \: \: we \: will \: get \: \: \\ \sf a = 2 \: \: \: and \: n = 2 \\ \\ \bf \: therefore \: \\ = 2 \times {2}^{2 - 1} \\ = 2 \times 2 \\ = 4$