Find the limit

[meer]

Hi, If you could please verify whether the following limit is correct

( and property of constant multiplier is applicable here) ?

Thank you.

 

[Deleted member 4993]

Hi, If you could please verify whether the following limit is correct

View attachment 34244 ( and property of constant multiplier is applicable here) ?

Thank you.

Please share your judgement and the reason behind it.

 

[Dr.Peterson]

Hi, If you could please verify whether the following limit is correct

View attachment 34244 ( and property of constant multiplier is applicable here) ?

Thank you.

Please explain why you are not certain of this answer. What is the "property of constant multiplier", as you understand it, and why might it not apply?

The problem seems simple enough, so these are the issues we need to address.

 

[pka]

Hi, If you could please verify whether the following limit is correct

View attachment 34244 ( and property of constant multiplier is applicable here) ?

Thank you.

In the nonstandard analysis vocabulary [imath]\mathop {\lim }\limits_{x \to k} F(x) = L[/imath] means that:
if [imath]x\approx k[/imath] (read x is close to k) then [imath]F(x)\approx L[/imath] (read F(x) is close to L)
So this question if [imath]\bf x\approx 0[/imath] then [imath]\bf \pi x\approx \Large ?[/imath]


[imath][/imath][imath][/imath][imath][/imath]imath][/imath]

 

[Steven G]

Multiply the constant π by numbers closer and closer to 0 and see what these products are getting closer to.