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- Find g'(x) for g(x)=-x^2+3x+2 by using the limit definition of a derivative. lim x-->0 f(x+h)-f(x)/hInvestigate lim (1 + x) 1/x numerically and graphically. x➔0a) By graphing the function f(x)=(cos2x-cosx)/x2 and zooming in toward the point where the graphcrosses the -axis, estimate the value of lim x 0 f(x)
- 1. Evaluate lim (2x-5) given its graph below. x →2 a.0 b. -1 c. 2 d. 1 2. Given the graph of f(x) below, evaluate its limit as x approaches 3. a.2 b. 3 c. 1 d. 0Determine lim g(x) for gas in Figure 11. x➔0.5Find the slope of the tangent line to the parabola y=4x-x^2 at the point (1,3) 1) using the definition: m=lim->a f(x)-f(a)/x-a 2)using the equation: m=lim->0 f(a+h)-f(a)/h
- Write down a function that has vertical asymptotes at the points x=1, x=2, and x=3, and a horizontal asymptote at y=4Sketch the graph of the function f. f(x) = −5x + 7 if x < 1 4 if x = 1 x2 + 1 if x > 1 whats the lim at a=1Find a function which has a horizontal asymptote y = 1, and a vertical asymptote x = 1.