Use a table of values to estimate the value of the limit. If you have a graphing

Question

Use a table of values to estimate the value of the limit. If you have a graphing device, use it to confirm your result graphically. limx rightarrow 0 tan 7x/tan 8x Use a table of values to estimate the value of the limit. If you have a graphing device, use it to confirm your result graphically. (Round your answer to two decimal places.) limx rightarrow 1 x7 - 1/x4 - 1

Explanation / Answer

lim x-->0 tan7x/tan8x = lim x-->0 tan7x/7x * 1/[tan8x/8x] * 7/8 using lim x-->0 tanx/x = 1 we get = 1 * 1 *7/8 = 7/8 = 0.875 lim x-->1 x^7 - 1/x^4 - 1 apply L'Hospital's rule = lim x->1 7x^6 /4x^3 = 7/4 = 1.75

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