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- 7. Identify if the statement is Always True, Sometimes True or Never True. If lim f(x) exists, then lim f(x) = f(2). x-2 x-2 a. b. If lim f(x) = 4 and lim f(x) = 8, then lim f(x) = 6. X-2+ 8. Determine the derivative of f(x) = x² - 6x using the limit definition of the derivative.arrow_forwardevaluate the limit lim h> 0= (1/4+h)-1/4/harrow_forward(x-2)f(x) +2 2x – 5x +3x-2 2. Given that lim - = 3, evaluate lim f (x). 3. Evaluate the following limitsarrow_forward
- Let lim g(x) x 4 = 10 and lim h(x) x→4 Determine the value of the limit = 6 X lim x→4 g(x) + h(x) Enter your answer as a decimal. Round to three decimal places (as needed).arrow_forwardLet lim g(x) = 5 and lim h(x) = 2 x→4 x→4 Determine the value of the limit h(x) lim x→4 x + g(x) Enter your answer as a decimal. Round to three decimal places (as needed).arrow_forwardThe graph below is the function f(x) -5 -4 -3 -2 -1 x→-2- 5 4 3 lim_f(x) = -1 -2 -3 -4 -5 Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the limit approaches positive infinity, or "-oo" if the limit approaches negative infinity. lim f(x) x→-2 lim f(x) = x→ 2+ f(-2) = 2 3 4 5arrow_forward
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