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Hi, This is a splecial case and you can see it is of form f(x) g(x) = 1 where f(x) is 1 + sinx and g(x) = 1/x 2 Direct Solution of above form is e g(x) (f(x) -1) Put f(x) and g(x) and get the required...
Hello Student, please find the soln Take log both sides Now this is equal to 1 so log y = 1 therefore
This can be solved using expansion of sin -1 x and tan -1 x which follows sin^(-1)x=x+1/6x^3+ 3/(40)x^5+5/(112)x^7+(35)/(1152)x^9+... tan^(-1)x=x - 1/3x^3 + 1/5x^5 – 1/7x^7+... When you will...
Hi, This is a special case. (1+0)^(1/0) Here F(x) at x=a is 1, and and if {1+f(x)}^g(x) where f(x) is tending to zero and g(x) to infinity that the answer would be lim(x>a)e^[f(x).g(x)]....
Dear student, We have: SImilarly, Hence, taking the ratio, would give the required result. Regards
Hello Student , Please find the solution. Let cosA=3/5 => so, sinA=4/5 So Now you can again expand sin(A+x) and Cos(A+x) and Put cosA=3/5 and sinA=4/5
Hi, For the first question, take the LCM and simplify. Now put x=-x, You will see that after simplification – can be taken common from numberator and denominator and the same expression wil...
Clearly this is 0/0 form So applying L Hospital’s Rule Lim ( log3.3 x – log2.2 x )/( log4.4 x - log3.3 x ) ( differentiation of a x = a x .loga) x->0 = (log3-log2)/(log4-log3) =...
For calculas there is only solution i.e. practice. Firstly, I would mention that before going to any advance book practice NCERT so as to clear all basics and all varieities of problem. Once you are...
for minima x = _/2/3 (root two by three) and for maxima x = -_/2/3 (-root two by three)
First note that the function is injective: f(x) = f(y) implies f(f(x)) = f(f(y)) which yields x = y. We say that a number x is fixed by f if f(x) = x. Now, if f(a) = b, with a and b unequal, then f(b)...
Ans: Hello Student, Please find answer to your question below It is given that exactly one statement is true out of three. Case I: Statement 1 is true which means f(x) = 1 & f(y) not equal to one...
thank you sir
Ans: Hello Student, Please find answer to your question below Your question seems to be incomplete Use the editer given just above the posting tab to edit your question Please rewrite the complete...
Ans: Hello Student, Please find answer to the following question is a one-one function. So which means that every input has only one output. Given: Since only one statement is correct and function is...
Being a equation and a polynomial equation is very different. Functions like sinx, lnx, e x are not considered polynomial quations. They are transcental functions.
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