Question

6) If lim f(x)=L and lim g(x)= M, then find: a) lim(/(x)+g(x)) b) lim 7) Sketch one possible graph of a function that satisfies the conditions, f(2)=5 lim f(x)=1 lim f(x)=5 8) fx+8 if x 50 Let f be the function defined by: f(x)={x2-5 if x > 0 a) Find: lim f(x) b) Find: lim f(x) c) Find: lim f(x) 9) Find each of the following limits. band a) lim b) lim

Answer 1

As: 6 lisu flac) = L and lim g(x)=M, then find ac 2-> lim ( tex)+9(x)) by algebra = lim f() + lim g(x) xxc Nc ac of Convergent Sequence =tM lim f(a) 7 2-) g(x) lim g(x)=Mto a- then lim f(x) lim fra ) 11 - - ntc g(x) ac 그 L М. lim gla) x-c 6 5 4 3 2 1 + fe 45 2 H2)=5 lim tx=1 X2 time f(x)=5 atat 3 89 f(x)= { 118 if xao 2²-5 if xxo

ay um nyo f(x) um x+8 xayol ܝܐܬ0_ 4-QlX Okyto = im O-htB horo a um -ht8 = 8 hao by um it fra) = lim x²5 + t 2-40 torx Xero 270th y ho cim (oth)=5 J hyo 2 im n5 hro - 5 C lim fix) っ lim at 8 270 xto = um 2+8=8 X90 9) Um lal Xro X Xy6 X-to-h ay hro um lo-hl h 2 um F-1 hroh hrooth

by um pel X-407 z nyot x-yoth - hyo y lim lothl hayo oth im . h=1 hayo n