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- 3. Calculate the limits(a) lim (1-cosx)/(5sinx) x->0 (b) lim (x^10)/(10^x) x->infLet f(x)= √6-x . Compute f'(2) using the limit definition. f'(2)= -1/4 Find an equation of the tangent line at x=2 y= ? How to solve for the equation of the tangent line at x=2?Find 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
- Find the limit x+ x cos x lim X → 0 Sn x cos xEvaluate the limit. limit of (x + sin 1/x)^1/x as x approaches positive infinityWe consider the rational function f(x) = p(x)/ q(x) = 2x ^2 + cx − 4c / x^2 − x − 2 . Here c is an unknown constant. If the limit L = limx→2 f(x) is a finite number, then what is c?