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- By synthesizing your observations on the values of x and f(x) on the 2 tables, how are you going to define a limit?According to the alternate form of the definition of the derivative, to compute f′(0), we need to compute the left-hand limit let f(x)= {-5x^2+5x for x<0 5x^2-2 for x ≥ 0 lim as x approaches to 0 minusWhen using the definition of limit to prove that L is the limit of f(x) as x approaches c, you find the largest satisfactory value of . Why would any smaller positive value of also work?
- In this example, we can combine the three simple results following the limit definition with the results in Theorem 1 to calculate the limits. We simply substitute the x- and y-values of the point being approached into the functional expression to find the limiting value.Compute the limit as xà0 of f(x)=[(9+x)^(1/2)-3]/x, if possible.Please find the limit as x approaches to infinity (1-e -x)^(e x)