Question

question about limits! (actual question is in the comments)

Answer 1

if we plug in h = 0 e get 0/0 so we can apply l'hopitals rule

Answer 2

what is his rule?

Answer 3

the limit of the function is equal to limit of its derivative

Answer 4

So is the limit 0?

Answer 5

differentiate top and bottom

Answer 6

how? Im really lost

Answer 7

= 7(1 + h)^6

Answer 8

or you can just know that to approach a limit plug in something really close to it
like 0.0001 then even closer like 0.0000001
then relieze for a question like this if it is positive or negative infinity

Answer 9

what is the limit of this function?

Answer 10

as h approaches o

Answer 11

@cwrw238 I think the topic of limits is taught before derivatives
so you might be confusing her if she hasn't learned them

Answer 12

isnt it infinity?

Answer 13

yea maybe - in my case derivatives were taught first

Answer 14

So is the limit infinity then?

Answer 15

no if we plug in x = 0 into 7(1 + x)^6 it becomes 7

Answer 16

limit is 7

Answer 17

no wait... I mess up in my explanation.
not infinity, sorry

but plug in stuff like 0.00001 and 0.00000001

Answer 18

oh okay thank you!

Answer 19

yes it can be done using the binomial theorem as jiggly suggested