Questions 11, 12, 23. Please soon.
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Step-by-step explanation:
11.
lim (ax^2+bc+c/cx^2+bx+1) at x tends to 1
= (a(1)^2+b(1)+c)/(c(1)^2+b(1)+a)
= (a+b+c)/(c+b+a)
= 1
12.
Lim (1/x + 1/2) / x+2 limit x tends to -2
(0/0) form :-
Lim (x+2)/2x / x+2 = Lim 1/2x
= 1/2(-2)
= -1/4
23.
Lim f(x) limit x tends to 1
Lim f(x) limit x tends to 0
f(x) = (2x+3) where x less than equal to zero {means x tends to zero)
f(x) = 3(x+1) where x greater than to zero {means x tends to one }
Lim 3(x+1) limit x tends to 1
= 3(1+1)
= 6
Lim (2x+1) limit x tends to 0
= 2(0)+1
= 1
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