Honestly, I feel terrible. I feel like locking myself in a room and screaming and crying, I don't feel like qualify as okay anymore, I need help, and if you love someone let them know, I haven't seen my grandma in years, and I miss her hugs, so please when you still have your loved ones, let them know you love them <3

xoxo, tae's simp.

I haven't seen my grandma in years too...

Step-by-step explanation:

Hey i feel you, im always in a bad place and i hate knowing other people go through it too. and your grandma is or was probobly a really great person and ik how hard it is to miss someone so much and ik its not as good as ur grandmas hugs but ill give u one :)

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

i am unable to solve this problem

step-by-step explanation: