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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..
4856+12334
how to change order and variable in multiple integral
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assigenment of b.sc.1sem
If A be the area of a right triangle and b one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is 2 Ab /√ b 4 +4A 2 . An
sin (cot -1 {cos (tan -1 x)}) tan -1 x = A => tan A =x sec A = √(1+x 2 ) ==> cos A = 1/√(1+x 2 ) so A = cos -1 (1/√(1+x 2 )) sin (cot -1 {cos (tan -1 x)}) = s
Arc length Formula L = ∫ ds Where ds √ (1+ (dy/dx) 2 ) dx if y = f(x), a x b ds √ (1+ (dx/dy) 2 ) dy
Integration variable : The next topic which we have to discuss here is the integration variable utilized in the integral. In fact there isn't actually a lot to discuss here other
Area of the equilateral triangle: Given : D, E, F are the mind points of BC, CA, AB. R.T.P. : We have to determine the ratio of the area of of triangle DEF and triangle AB
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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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