x+1 The function f is defined by f(x)= 1 Simplify lim f(x) using limit theorems. 1 x-0 X lim (x+1) X 0 1 lim (- x->0 X 1) lim (x²+x) X-0 lim (1-x) x-0 O lim (x²-1) x-0 lim (1+x) x-0
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- x+2 Let Bex- Fend lim fov lim fos -スEvaluate |x2-4 lim X2 x-2 0/0 Does not exist(x+2)2 - 4(x+5) limx x- 4f(x + Ax) – f(x) Find lim Дх — 0 Ax f(x) = 9x2 . 5x | Step 1 Find f(x + Ax) by substituting x + Ax in place of x in f(x) = 9x - 5x. f(x + Ax) = 9( X )? - 5(Sfsin(r – y kýyd . B. (i) Evaluate 00 sVx+1 lim (ii) Evaluate * 4Vx +33x + 5; if xs1 1- 2x + b;if x>1 b) The function f(x) is defined by f(x) = { , If lim f(x)exists, what is the value of b?