Thursday

September 18, 2014

September 18, 2014

Posted by **APpreciative student** on Tuesday, September 14, 2010 at 10:25pm.

sorry--

basically this is my problem:

lim [sin 3x / 4x)

x-> 0

~~~~I multiplied& eventually got to

.75* lim (sin 3x / 3x)

x-> 0

~so i figured since (lim (sinx/x)

x-> 0

was equal to zero, then

lim (sin3x/ 3x) also equaled 0

x-> 0

is that right? thank you !!!

(all of the x-> 0 should be under the "lim" -- just in case the text shifts...)

- calc bc (condensed -
**TutorCat**, Tuesday, September 14, 2010 at 10:27pmsee below

- calc bc (condensed -
**Reiny**, Tuesday, September 14, 2010 at 10:40pmyour preliminary steps are correct

lim sin3x/(4x) as x--> 0

= lim (3/4)(sin3x/(3x))

= 3/4(1)

= 3/4

lim sinx/x = 1 not zero

as x-->0

- calc bc (condensed -
**Reiny**, Tuesday, September 14, 2010 at 10:47pmcontinued..

Here is a simple way to check your limit answers if you have a calculator

pick a value very "close" to your approach value, in this case I would pick x = .001

evaluate using that value, (you are not yet dividing by zero, but close)

for your question I got .749998875, close to 3/4 I would say.

PS. Make sure your calculator is set to Radians

**Answer this Question**

**Related Questions**

calc bc - is the limit as x approaches 0 of sin3x over 3x equal to zero? thank ...

Calc Limits - lim (1+x)^1/x. Give an exact answer. x->0 This reads: The ...

Calc - I have a test soon.. and I really need to know how to do this problem.. ...

calc - Use L’Hopital’s rule to find the limit of this sequence (n^100)/(e^n) ......

limits - what is the derivative of e^(3*ln(x^2)) i keep getting 6/x * e^(3*ln(x^...

Calculus - yes! tnk u ok? It's actually (x->0.) Find the limit of cot(x)-csc(...

Math - I've got quite a few problems. Please answer any of them in whole or in ...

Calculus - Note that pi lim arctan(x ) = ---- x -> +oo 2 Now evaluate / pi \ ...

CALC (PLEASE HELP DUE SOON) - Find the limit (if it exists). (If an answer does ...

Calculus - How can I find the horizontal asymptote of: y=e^x/(2e^x+5) i know you...