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Using the Squeeze Theorem In Exercises 95 and 96, use the Squeeze Theorem to find
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- What is the sign of a if f (x) = ax³ +x +1 satisfies lim f(x) = o0? X -00 %3|arrow_forwardDetermine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If f is undefined at x = c, then the limit of f(x) as x approaches c does not exist.arrow_forwardShow that exist or not exist| lim z+ 1-i 2²y+ ry? + i x2 + y x2 + Yarrow_forward
- Use the squeeze theorem to find lim f(x), given that 3-|x-7| <= f(x) <= 3 + |x-7|arrow_forwardConsider the function lim h→0+ -9 (a) To determine whether f is differentiable at x = ƒ(−1 + h) − ƒ(−1) h lim h→0- lim h→0 f(x) = lim h→0+ f(−1+ h) - f(−1) h lim h→0- = lim h→0 x²-3x - 7 ✓/27x -9x - 18 (b) To determine whether f is differentiable at x = : 0, we compute f(h)-f(0) h (c) To determine whether f is differentiable at x = f(1+h)-f(1) h ƒ(1 + h) — ƒ(1) h = lim h→0+ = lim h→0- = = lim h→0+ if x < -1 if -1 < x <1 lim h→0- if x ≥ 1 -1, we compute || 1, we compute || = || ||arrow_forwardUse the graph of f to identify the values of c for which lim f(x) exists. (a) y (b) y 4 -4 24 6 ► x -2 2 4 -2+arrow_forward
- Let f(x) =. 1,0arrow_forwardHelp me pleasearrow_forwardSketch the graph of the function. if x 2 y y y y 4 4 4 2 2 2 -4 -2 -4 -2 -4 -2 -2 2 4 -2 -2 Use the graph to determine the values of a for which lim f(x) exists. (Enter your answer using interval notation.) X-aarrow_forwardLet a and B be real numbers and fa function of x. If lim, a+ f(x) = B and lim,a- f(x) = ß. Then lim,→a f(x) = B. True Falsearrow_forwardCREATE THE QUESTION a) Form a piecewise function by using exponential, quadratic & linear function. b) Your domain for the piecewise function must be in the range -aarrow_forwardSketch the graph of a function f that satisfies all of the given conditions. lim f(x) = 1, lim f(x) = 2, f(0) = -1 x →0- x → 0+ O y X GO y 1❤ y 20 X iarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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