Evaluate it (b) Evaluate the limit lim (Vlog(x)) 10+ Make sure you clearly explain/justify each step...
2. Let f(x)= V12-x-x?. Evaluate lim f(x). Justify each step by indicating the limit law(s) used. (10)
4. Evaluate the limit (4pts each) 9x4+x (a) lim x -3 (b) lim Vx +25
4. Evaluate the limit (4pts each) 9x4+x (a) lim x -3 (b) lim Vx +25
Find the limit, if it exists. Make sure to use correct notation in each step of your calculation. x2ycosx lim(x,y)-(0,0) x4 + y2
evaluate each limit or explain why it does not exist
(b) 4x² - y² lim (x,y)+(0,0) x2 + 2y2
f(x, y) = y/(sqrt(z? + y2) + x) Evaluate the limits below, if they exist. If the limit does not exist, explain why it does not exist Yon musi elearly staie if you ity, lopital's rle or the sandwch theorem in your working. You do not need to justify using limit laws. (i) lim f(x, y) (ii) im f(r, y (iv) zlin2-1.0 arctan ^Ca.v)l
f(x, y) = y/(sqrt(z? + y2) + x)
Evaluate the limits below, if they exist. If...
i. Explain why this definite integral is an improper
integral.
ii. Determine if this improper integral converges or
diverges. Be sure to treat the improper integral with appropriate
mathematical rigour. Simply treating the improper integral as if it
was a proper integral will result in zero marks. Furthermore, make
sure you clearly explain/justify each step in your limit analysis
working.
thanks for your answer, please give a clear
writing.
(b) Consider the definite integral 2 1 i. Explain why this...
Evaluate the limit, using L'Hôpital's Rule if necessary. x3 lim X-00 9eX/5 Step 1 +3 The limit to be evaluated is lim ** 9ex/5 By direct substitution we have the following. *3 lim x 9ex/5 Thus, the direct substitution results in --Select-- form. Submit Skip (you cannot come back)
math help!
1. Evaluate each limit. If there are indeterminate forms, state them at each step of your work. Simplify your answers! b. (6 pts) Evaluate lim x->2 , where the line y = (x+2) is tangent to (x) at x 2 in y =(-2)
Evaluate lim x--> infinity xe-x Justify your answer.
Assume lim f(x) = 8 and lim g(x)=6. Compute the following limit and state the limit laws used to justify the computation. limf(x)g(x) + 16 limx19(x) + 16 = (Simplify your answer.) Select each limit law used to justify the computation. D A Constant multiple B. Quotient C. Power D. Root E Product F. Difference O Sum