in 5-- 2 34 6. Graph of f The graph of the function f is shown above. Which of the following statements is false? o lim f(x) exists 5 lim f(x) exists 4. 3. 2.
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- If x4 <=ƒ(x)<= x2 for x in [-1, 1] and x2<=ƒ(x) <= x4 for x <-1 and x> 1, at what points c do you automatically know limx-->c ƒ(x)? What can you say about the value of the limit at these points?Evaluate the limitlimx→0+x (ln(x))^2According 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 minus
- B. Calculate each of the following limits, or explain why it does not converge. You may use any theorems that were stated in lecture.iv. limx → 1+ |x-1| / (x-1)suppose f,g an d h are functions which g(x)<=f(x) <=h(x) ,for all x in an open interval containing a , except possibly at a. if lim g(x) ,x approaches to a does not exist or lim h(x) ,x approaches to a does not exist , will the lim f(x) ,x approaches to a do or does not exist ?Draw the graph of a function f on [0, 4] with the given property. Infinite one-sided limits at x = 2 and satisfies the conclusion of the IVT on [0, 4]