limits

[mathe25]

i have to find the limit,but not using derivatives...please help me because i need it for exam.

 

[girodd]

View attachment 2426 i have to find the limit,but not using derivatives...please help me because i need it for exam.

When you say "not using derivatives", I assume you mean "not using L'Hospital". This limit can be approached by introducing additional expressions which turn components of the given limit into "derivative" limits, i.e., of the form (f(x+h) - f(x))//h. For example, just look at

(cuberoot(x+1)-1)/ln(1+2x)

and write it as (cuberoot(x+1) -1)/x * x/ln(1+2x)

The first factor is simply the derivative of cuberoot(x) at x=1, while the second factor is the reciprocal of half the derivative of ln(x) at x=1. Similar methods let you analyze sin(x)/ln(1+2x)

 

[mathe25]

can u explain better...if somebody can

 

[mmm4444bot]

Do you have a Windows operating system?

:idea: Manipulating images in MSPaint is very easy.

(I don't set my monitor on its side, to rotate images!)

PS: I moved your thread from the Advanced Math board because limits are a Pre-Calculus topic (i.e., high-school level math).

 

[mathe25]

thank u...can u help me with that exerc.

 

[Deleted member 4993]

thank u...can u help me with that exerc.

Please share your effort with us.

I have studied your previous posts - and you have failed to show any effort on your own.

Some of us refuse provide camera-ready solution, till and until you show somw effort - and explain exactly where you are stuck.