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- Evaluate the limit based on the limit theorems. Give your step by step solution. 1. lim 3x(x+5)= x➪4Find the limit. lim x--> infinity e3x+5/4e3x+ex-7Find the limit.1. lim┬(x→-1)〖(2x^2-x-3)/(x+1)〗2 lim┬(h→0)〖(√(2+h)-√2)/h〗3. lim┬(x→5^+ )〖(x-5)/(x^2-25)〗4. lim┬(x→0^- )-〗〖3/x〗 5.lim┬(x→0)〖(-〖2x〗^3+3x-1)〗 6. lim┬(x→3)〖(x+1)/(x-3)〗 7.?(?)={?3 +3 ?≤2 ? > 2 lim┬?→2 ?(?)
- Find the limit. lim x--> infinity x2/ ex1a. Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.) lim t-> -∞ ( (6t^2+t)/(t^3-7t+1)) 1b. Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.) lim u-> -∞ ((u^2+1)(8u^2-1)) /(u^2+9)^2 1c.Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.) lim x-> ∞ sqrt(x+6x^2)/(8x-1)Evaluate the Limits: a) limt->-1(t2+3t+2)/(t2-t-2) b) limx->9 (9x-x2)/(3-x1/2) c) limx->-inf (ex-e-x)/(ex+e-x) Do Not Use L'Hopital's Rule