2.) Use the & - definition to prove that the following limit exists lim (x+3)=3 X-2...

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2.) Use the & - definition to prove that the following limit exists lim (x+3)=3 X-2 13 3.) Find the following limits if they exist, if they don't explain why. Do this algebraically. Do not use tables or graphs. a.) lim X-3 √x+2-√5 x-3 b.) lim ¹/(s+1)-1 S-0 S sin 3t t-0 2t c.) lim 3x+3 e.) lim x→-1 |x+1| 4x-3 x→→∞ √x²+1 g.) lim uaranteed by the 2x²+5x-3 x-1/2 6x²-7x+2 d.) lim b)/()* f.) lim (x −[x]) X→2 s to the =x² - 6x + 3x³-x+1 x→∞0 6x³+2x²-7 h.) lim 2.) Use the & - definition to prove that the following limit exists lim (x+3)=3 X-2 13 3.) Find the following limits if they exist, if they don't explain why. Do this algebraically. Do not use tables or graphs. a.) lim X-3 √x+2-√5 x-3 b.) lim ¹/(s+1)-1 S-0 S sin 3t t-0 2t c.) lim 3x+3 e.) lim x→-1 |x+1| 4x-3 x→→∞ √x²+1 g.) lim uaranteed by the 2x²+5x-3 x-1/2 6x²-7x+2 d.) lim b)/()* f.) lim (x −[x]) X→2 s to the =x² - 6x + 3x³-x+1 x→∞0 6x³+2x²-7 h.) lim