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Finding vertical asymptotes Find all vertical asymptotes x = a of the following functions. For each value of a, determine
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Chapter 2 Solutions
Calculus: Early Transcendentals (2nd Edition)
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- 4x +9 if z 2 Find lim f(x), if it exists. 01 O DNE 00 02arrow_forwardDetermine if each of the following statements is true or false. If true, explain why. If false, explain why and/or provide a counter example. If a function has a horizontal asymptote at y = a, then BOTH lim x → ∞ f ( x ) = a AND lim x → − ∞ f ( x ) = a. if g ( x ) = 5 cos x, then lim x → ∞ g ( x ) does not exist. If a function h ( x ) has the domain ( − ∞ , 0 ] and h ( x ) has no horizontal asymptote, then it must be the case that either lim x → − ∞ h ( x ) = − ∞ OR lim x → − ∞ h ( x ) = ∞arrow_forwardThe graph below is the function f(x) L'n. -4 -3 -2 Find lim 2-2 Find lim z+2+ 5- 4 Find f(2) 45 2 My 1 the -2 -3 145 L 16 f(x) f(x) Find lim f(x) z+2 2 3 4 5 yarrow_forward
- 1a) First Pic1b) second picarrow_forwardPlease answer all these questions for me. Thanks in advancearrow_forward+x-2 8. Fill in the table to find lim f(x) where f(x)- You may be able to find the answer x-1 in other ways, but please do fill in the table, choosing your x-values carefully. DNE From your table, lim f(x) = 9. Use the piecewise function to answer the following questions -1 >0 Discusa the cnetinuity of f(a) x-2. Discuss the continsity of /(x) atarrow_forward
- Please and please keep the handwriting clean . Thank you !arrow_forwardSketch the graph of a function f with domain R that satisfies all conditions below simultaneously. For this question only, you do not need to prove or explain your answer, as long as the graph is correct and very clear. We want only one single function f that satisfies all the conditions, all at once. Make your graph tidy and unambiguous. 1. lim f(x) = 2 7. lim f(x) = 5 I-1 2. lim f(x) exists for every a e R, 8. lim [f(x)]? = 1 except a = -2 ,a = 2 and a = n. 9. lim f(f(x)) = 3 3. lim f(x) = f(2) I+2+ 10. lim f(x) = -1 4. lim f(f(x)) = 5 11. lim f(2/(x) – 1) = 0 5. |f(r)| # 1 I-2 6. lim f(x) # f(3) 12. lim f(f(x)) = -3 I-3 I-1arrow_forwardx - 1 x-1 x + 1 Find Lim A. 00 C. 8 010 B. - 4 D. 0arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage