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- Forf(x) =x3e2x+1, write thelimit definitionoff′(4). Don’t simplify or evaluate the limit. Forexample, ifg(x) =x3you would writeg′(1) = limh→0(1 +h)3−13hUse the precise definition of the limit to show thatlim . x→2x2 + 4x − 5 = 7Complete the table and predict the limit, if it exists. (Round your answers to three decimal places. If the limit is infinite, enter '' or '-', as appropriate. If the limit does not otherwise exist, enter DNE.) f(x) = 40 - 3x-x² x-5 X 4.9 4.99 4.999 5.001 5.01 5.1 lim_ f(x) = X-5 f(x) x X X X xx X