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程序代写案例-SMA 101
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Charles Darwin University SMA 101 − Mathematics 1A Tutorial 2 Q1. Given that lim x→a f (x)=2, lim x→a g(x )=−4, and lim br>x→a h(x )=0, find the following limits: i. lim x→a 3√6+ f (x) ii. lim x→a 3 f (x )−g(x ) h( x) Q2. Find the following limits: i. lim x→1+¿ x 4−1 x−1 ¿ ii. lim x→4−¿ 3−x x2−2x−8 ¿ Q3. Find the limits: i. lim x→−∞ x−2 x2+2 x+1 ii. lim x→+∞ √5 x2−2 x+3 Q4. Assuming that m and n are positive integers find lim x→−∞ 2+3xn 1−xm for: (i) m < n (ii) m = n (iii) m > n Q5. Find the values of x, if any, for which the following functions are not continuous: (i) f (x )=5 x 4−3 x+7 (ii) f (x )= x+2 x2−4 (iii) f (x )= 2 x+1 4 x2+4 x+5 Q6. Q.2 Find x at which the following function is not continuous: f (x )={ 3 , x=1 3 x−1 , x≠1 Q7. Find a value of the constant k, if any, that will make the following functions continuous: (i) f (x )={ kx 2 , x>1 7x−2 , x≤1 (ii) f (x )={ 2 x+k , x>2 kx 2 , x≤2 Q8. Find the discontinuities in the following function: f (x )= 1 1−2sin x
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