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(3) (20 pts) Solve the following Limit that you first get indeterminate forn (a) tan-x - 7/2 lim (b) lim In(3x + 5e) In(7x
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Answer #1

lim tantx - iT 12 x → 11x lim x (tant (x)- 1712) Xto ao (tant (oo) - 1112) (T12 - 1112) form. Therefore Indeterminate form oflim da Xo d ln (3x + 50x) d ln (7x + 3e 2x) ax Xtoo 3x + 5ex ak d (7x+32+ 7x+ 3 e 2x ax lim X 3+ sex 3x+sex 7+ 3(2) e 3x 7x +lim (50%) (2x + 3) + (7+602x) (3 +504) (3+5ex) (7+602x) + (1262x) (3x + 5ex) 2x +36e² 3x 350*x+7oet + 1350 722x x + 350t 72 2lim o + 270 (2) e 2x +36cx 72ex x + 720x+luucx + X → Sho(2) e ²x Brex 72cxx + 2l6ex + 1080 e 2x +5400 2x X+0 lim D Xo 360 (+

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