Page 191 - Math Grade 11 (Basic)

PROEUS DARA

x->a
• lime= c crtm8Lt1ticr~!'Hr.la c
x ->a
limx=a
011
x->a
lim (f(x) ± g(x)] = lim f(x) ± lim g(x)
011
x->a
011 lim(f(x)·g(x)] = limf(x)·limg(x)
x ->a x->a x-->a
<~~ lim f (X) = xc,.;l~_a:.:_f-,..( x....,.)
"" m limg(x)¢0
x->ag(x) limg(x)

o "" m lim f(x) = L
X-> X
0
• "" m lim f(x) = R
+
x-x
0
• f 'i:flS nHh1U1~ x 0
• ru~ntS rl'Ultnt2"hn~~ S S ~til ru~n tS 51 ttl ill'i:flS ~ tUnUdlb ttl
I l.J Sl 1.1
e ru~ntSDJffltlMS&'l StsiU'~~s ~ ~dlt:Hl.Ht{Jmnh ru~ntS~ ttl ill'i:flS~ 'LnUdlb

tl'=lt 2imt:1 runsh ru~n ts ~ ttl rn'i:fls ~ tLndmh tf:lt 2imt:1 tub

e drumJu Ay = f(b)-f(a) m~unutL~i5~ill'i:H:3J~&s y = f(x) mrurun X
~ b-a u
'i5 t~liL~ ru rl a t 94 b
1.1
• f'(a) = limf(a+h)-f(a) dlttl1t~t2~2f:l~S y = f(x) tsiU'~ x =a
h--->0 h I
• (c)' = o crcmgLf:lticr~str.l~ c

• (x")' = nx"- Gtmg n EIN
1
• [kf(x)]' = kf'(x) ttlru K dlmf:lrultr.l~
1
• (f(x) ± g(x)]' = f'x ± g'(x)
011 [f(x) · g(x)]' = f'(x) · g(x) + f(x) · g'(x)
e [f(x)J, = f'(x)·g(x)-f(x)·g'(x) ttl g(x)¢0
g(x) [g(x)]2
J"(x) mni'h1'9 1 ts J'(x) ttfiru J"(x) dlttl1t1'9 2 &s~st1~s y = J(x) '1
1

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