II. Determine the limits of the following graph below. 17-18.) lim f(x) x-4 21-22.) lim f(x) x-2- 19-20.) lim f(x) x-1 23-24.) lim f(x) x-2+ 6. en
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- 1) Find the indicated limit if it exists. a) limx→0 squareroot x+4-2/x b) limx→−1.5 8x3+27/2x+3Find the limit.1. lim┬(x→-1)〖(2x^2-x-3)/(x+1)〗2 lim┬(h→0)〖(√(2+h)-√2)/h〗3. lim┬(x→5^+ )〖(x-5)/(x^2-25)〗4. lim┬(x→0^- )-〗〖3/x〗 5.lim┬(x→0)〖(-〖2x〗^3+3x-1)〗 6. lim┬(x→3)〖(x+1)/(x-3)〗 7.?(?)={?3 +3 ?≤2 ? > 2 lim┬?→2 ?(?)15.2.67 #23 Evaluate the following limit. lim |x+y|/|-y+x| = (x,y)→(0,0) Select the
- Which of the following statements about the function y = ƒ(x)graphed here are true, and which are false? limx → -1-ƒ(x) does not exist.10. Determine whether lim g(x) exists or does not exist in the following graphs. x →16. Evaluate the following limitsa. limx→9 3−√9 / 9−xb. lim x→0 √1+x−√1−x / xc. lim x→−2 x+2 / x2+z−2
- Which of the following statements about the function y = ƒ(x)graphed here are true, and which are false? limx →3+ƒ(x) does not exist.Using the ε − N definition of a limit, prove that lim(n→∞)=(6n^3 −2n+1)/(2n^3+1)=3. The expert missed the first part of the question which asks for the ε − N definition.Give an informal or intuitive definition of the limit lim ƒ(x) = L x-> c