Solve the limit problem, Mathematics

Solve the Limit problem as stated Limit x tends to 0 [tanx/x]^1/x^2 is ? lim m tends to infinity [cos (x/m)] ^m is? I need the procedure of solving these sums..

Posted Date: 4/5/2013 2:39:45 AM | Location : United States





The question is not in INDETERMINATE FORM.
you need to convert it in that form by using a simple formula...

:-  lim x->a   [ 1 + f(x)]^g(x)  =   e^lim x->a  f(x).g(x)

apply this formula and you get the ans as e^1/2 in the first one.

for the second put m=1/n 
hence when m->infinity.... n->0
and then apply the same formula
you get the ans as 1. 

Posted by Frankline | Posted Date: 4/5/2013 2:40:14 AM


Related Discussions:- Solve the limit problem, Assignment Help, Ask Question on Solve the limit problem, Get Answer, Expert's Help, Solve the limit problem Discussions

Write discussion on Solve the limit problem
Your posts are moderated
Related Questions
Consider the Solow growth model as given in the lecture notes using the Cobb-Douglas production function Y t = AK 1-α t L α t a) Set up the underlying nonlinear differen

explain under a reflection the image is laterally inverted.

performs the mentioned operation and write the answers in standard form. ( -4 + 7 i ) + (5 -10 i ) Solution Actually there isn't much to do here other than add or subt

Measures of Central Tendency Measures of Central Tendency are statistical values which tend to happen at the centre of any well ordered set of data. When these measures happen

Explain angle pairs ? Adjacent angle pairs Two angles are adjacent if they: 1. Have the same vertex. 2. Share a common side. 3. Have no interior points in common. Definit

These can be expressed in terms of two fundamental operations of addition and multiplication. If a, b and c are any three real numbers, then;     1.

Exponential smoothing It is a weighted moving average technique, this is described by: New forecast = Old forecast + a (Latest Observation - Old forecast) Whereas a = Sm


Provide me some Examples of solve quadratic equations by Factorization

Determine the domain of each of the following functions.                         f( x ) = x - 4 / x 2 - 2 x -15 Solution With this problem we have to avoid division by