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A trigonometric identity that is relevant here is 1#cos(2x)# = 2 #sin^2(x)#It follows that #(1cos(2x))/(2x^2) = sin^2(x)/x^2 = (sin(x)/x)^2# It is known that #lim sin(x)/x = 1# as #x > 0# The given function, therefore, will approach 1 as x approaches 0, and therefore K = 1 Continuity and Differentiability Class 12 MCQs Questions with Answers Question 1 If f (x) = 2x and g (x) = \(\frac{x^2}{2}\) 1, then'which of the following can be aQuestion If f(x) = 2x 1 and g(x) = (x – 1)/2 , then f(g(x)) = So, I know what to do Basic plug and chug I also know that the answer is X, I just don't know how to get to the answer I plug in g(x



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Multiply both sides of the equation by f 1x^ {2}2x=xff\left (1\right) 1 x 2 − 2 x = − x f f ( − 1) Swap sides so that all variable terms are on the left hand side Swap sides so that all variable terms are on the left hand side xff\left (1\right)=1x^ {2}2x − x f f ( − 1) = 1 x 2 − 2 xAnswer to For the function defined by f(x)={x^2, x less than equal to 1 2x1, x greater than 1} Define f(0) and also draw the graph for f(x)?If 2f (X) − 3 F ( 1 X ) = X 2 (X ≠ 0), Then F(2) is Equal to (A) − 7 4 (B) 5 2 −1 (D) None of These Department of PreUniversity Education, Karnataka PUC Karnataka Science Class 11 Textbook Solutions 71 Important Solutions 3 Question Bank Solutions 51 Concept Notes



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Free functions calculator explore function domain, range, intercepts, extreme points and asymptotes stepbystep If `f (x)= (x1)/ (x1)` then `f (2x)` is equal to Watch laterX=3/2 If we set x=3/2, then 2x1 = 2, so we can see that f (2) = f (2x1) = x when x = 3/2, or f (2) = f (2 (3/2)1) = 3/2 Unit conversion can be thought of in the same way Converting quarters to dollars, for example, we could write a function f (4x) = x putting in 4x quarters gives us x dollars




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