Limits involving infinity 1. Use graph to find the lim f(x) and lim f(x) of the following function X→∞ X-18
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- Find limit, if it exists. If the limiting value is infinite indicated if its positive or negative a) lim where f(x)= 2x+9 if x is less than equal to 4 x->4+ x^3-6 if x is greater than 4lim x-->3 f(x)=8 and lim x--->3 g(x)= -4 1) limx--->3 (3f(x)-5g(x)) 2) lim x---> G(x)^3 + 50 / ( 5f(x)^(2/3) )lim x2-4x/x2-16 (Guess value of limit) x-->4
- A function is a ratio of quadratic functions and has a verticalasymptote x =4 and just one -intercept, x =1 . It isknown f that has a removable discontinuity at x =- 1 and lim x->-1f(x) = 2. Evaluate a) f (0) b) limx->∞f(x)Find the limit lim x→∞ (1+5/x)x lim x→0 ((e2x-1-x)/x2)(a) Estimate the value of lim x→ - infinity square root x^2+x+1 +1 by graphing the function f(x)=square root x^2+x+1 +1 b) use a table of values of f(x) to guess the value of the limit.
- 3. Evaluate lim x→5 √x+4-3/ x-5. Show your complete solution. 4. Evaluate lim x→1 x-1/ √x-1. Show your complete solution. 5. Prove that lim t→-2 √1-t3/t +3/2 / t+2= 1/4. Show your complete solution.determine the limit limh→0[(x+h)2-x2]/h by treating x as a constant. determine the limx→0cos(2x)/x determine the limx→0 sin(2x2)/xtan(4x) Thanks in advance.Find the limit. lim x--> infinity x2/ ex