Question

limits question! \[\lim_{t \rightarrow 0} \left[ 1\div t \sqrt{1+t} -1\div t \right]\]

Answer 1

rationalize

Answer 2

find a common denominator and things should cancel

Answer 3

thats two separate fractions right?

Answer 4

yup

Answer 5

yes

Answer 6

find a common denominator the usual way and it should work out

Answer 7

please show me steps.

Answer 8

I'm sleepy. I'm going to bed. QED will show you hopefully

Answer 9

i will

Answer 10

ok, gnight.
QED, thank you. :)

Answer 11

last one tho bcuz this is annoying to type out

Answer 12

ok, thank you so much for all the help tho.

Answer 13

you truly are a lifesaver.

Answer 14

\[=(1-\sqrt{1+t})/t \sqrt{1+t} after combining terms\]

Answer 15

then you rationalize
\[((1-\sqrt{1+t})/t \sqrt{1+t}) * (1+\sqrt{1+t})/(1+\sqrt{1+t}))\]

Answer 16

then u have only t left on top, which cancels the t on the bottom (DO NO MULTIPLY BOTTOM OUT)

Answer 17

then just plug in 0 and youre good
should get.... 1/2

Answer 18

frac{a}{b}

Answer 19

thanks hero

Answer 20

sorry, -1/2

Answer 21

It's a little tricky posting those with square roots, but you'll figure it out

Answer 22

ok, thank you both

Answer 23

np

Answer 24

I didn't even do anything

Answer 25

well you tried to help. so ty, that counts. :)