hw4_sp19.pdf - Math 115 Assignment 4 x 1 Evaluate lim tan...

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Math 115 Assignment 41. Evaluate limx0xtan-1(4x).2. Evaluate limx0coshmx-coshnxx2.3. Evaluatelimx0+sinxlnx.4. Evaluate: limx0(cscx-cotx).5. Evaluatelimx0+(tan 2x)x.6. Evaluatelimx→∞parenleftbigg2x-32x+ 5parenrightbigg2x+1.7. Evaluatelimx1+parenleftbiggxx-1-1lnxparenrightbigg.8. Evaluateintegraldisplaye-θcos 2θ dθ.9. Evaluateintegraldisplay31tan-1x dx.10. Evaluateintegraldisplaye1(lnx)2dx.11. Consider the region bounded byy=ex, y=e-x, x= 1.(a)Use cylindrical shells to find the volume generated when the region is revolved about the

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