According to the −
definition of the limit, if
lim
x→4
(2x − 1) = 7,
then for every value of
> 0,
there is a value of for which
|x − 4| <
implies
|(2x − 1) − 7| < .
What is the maximum value you should choose for ?

the answer is c. 23/3

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13