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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..
Prove that cosec2theta+ sec2theta can never be less than 2
Example: Find out the radius of convergence for the following power series. Solution : Therefore, in this case we have, a n = ((-3) n )/(n7 n+1 ) a n+1 = (
Find the series solution of2x2y”+xy’+(x2-3)Y=0 about regular singular point
Important Points About the Alternating Series Test There are a several things to note about this test. Very first, unlike the Integral Test and the Comparison or Limit Compari
Metallic spheres of radii 6 centimetre, 8 centimetre and 10 centimetres respectively are melted to form a single solid sphere. Find the radius of the resulting sphere.
how to find the minimum distance between any two particles which are in relative motion?
Monotonic, Upper bound and lower bound Given any sequence {a n } we have the following terminology: 1. We call or denote the sequence increasing if a n n+1 for every n.
Types of distribution Population distribution This refers to the distribution of the individual values of population. This mean it is denoted by 'µ' Sample distributi
The mode Merits i. This can be determined from incomplete data given the observations along with the highest frequency are already known ii. The mode has some applic
what is the history of unitary method
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->0and then apply the same formulayou get the ans as 1.
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