Question

Use the formal definition of limit to verify the indicated limit.

Answer 1

\[\lim_{x \rightarrow 1/2}\frac{ 1-4x^2 }{ 1-2x }=2\]

Answer 2

\[0<\left| x-1/2 \right|<\delta \]
\[\left| \frac{ 1-4x^2 }{ 1-2x}-1/2 \right|<\epsilon \]

Answer 3

oh :s

Answer 4

looks good, factor 1-4x^2 and simplifaction is possible..

Answer 5

\[0<\left| x-1/2 \right|<\delta \]
\[\left| \frac{ 1-4x^2 }{ 1-2x}-2 \right|<\epsilon \]

Answer 6

yeahh

Answer 7

\[0<\left| x-1/2 \right|<\delta \]
\[\left|1+2x-2 \right|<\epsilon \]

Answer 8

\[\left|2x-1 \right|<\epsilon \]

Answer 9

yes divide through out by 2

Answer 10

0_o
I can't believe I didn't see that...

Answer 11

:)

Answer 12

thnx

Answer 13

yw!