WebApr 13, 2024 · Find the range of the following:(i) \( f(x)=\frac{1}{2-\sin 3 x} \)(ii) \( f(x)=1+3 \cos 2 \mathrm{x} \)(iii) \( f(x)=\frac{1}{1-2 \cos x} \)(iv) \( f(x)=\ma... Web2.Let f(x) = xsin(x2). What is f(147)(0)? What about f(148)(0)? Hint: you probably don’t want to take 147 derivatives of f. 3.Evaluate the following integral as an infinite series: Z 1 0 1 xx dx: ... Getting closer, but we added 101 terms of that series together and we only have one correct digit of of ˇpast the decimal! On the other hand ...

analysis - Continuity of sin(1/x) - Mathematics Stack Exchange

WebFind F (101) (x) for F(x)=xsin(x) Please help! Thanks! Expert Answer. Who are the experts? Experts are tested by Chegg as specialists in their subject area. We reviewed their … WebSo it's gonna be that over 1, plus the square root. One plus the square root of x squared minus one. So this is a composition f of g of x, you get this thing. This is g of f of x, where you get this thing. And to be clear, these are very different expressions. So typically, you want the composition one way. greet new year

Question: Find F(101)(x) for F(x)=xsin(x) Please help! Thanks!

WebSo it's gonna be that over 1, plus the square root. One plus the square root of x squared minus one. So this is a composition f of g of x, you get this thing. This is g of f of x, … WebCorrect option is A) To determine whether f(x) is is continuous or not at x=0, We need to find f(0 +),f(0 −) Now, f(0 +)=xsin x1. as x→0 +,sin(x1) oscillates from −1 to +1. Hence, x→0 +limxsin(x1)=0. And f(0 −)=xsin x1. As x→0 −,sin(x1) oscillates from −1 to +1. Hence, x→0 −lim xsin(x1)=0. WebWe show the limit of xsin(1/x) as x goes to 0 is equal to 0. To do this, we'll use absolute values and the squeeze theorem, sometimes called the sandwich the... greeton drive oughtibridge