Homework Trigonometric Limits, Slides of Trigonometry

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Homework Trigonometric Limits

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Homework Trigonometric Limits 41. Determine the value of each limit, if it exists - sin 5x sin 6x tan x a) lim—— b) lim c) lim zal a =1 cos4x xl 4x . sin? 2x x . Qtan? x d) lin —— e) lim—,— f) lim —— ro sin? 3x x40 tan” 2x x0 x” sin 3x sim x . . simSx g) lim= h) lim i) lim= rad x x0 7x x0 sin 6x r sin 6x sin? 3x tanx j) lim——— k) lim—.— I) im ra x0 x? rod hy 2. a) b) Describe how you evaluated the limit in part a). 3. Determine each limit. . sinax . tanx—sinx . 1-cosx a) lim b) lim ———_ ¢) lim——_ x0 sin bx x0 x COSX x0 x d) e) lim su” x cos x f) lim 1—cosx x30 1-cosx xo0 tanx 2sinx—sm2x . 1—cos 2x g) bh) im i) lim—— ao XCOSX x0 x? . .t . 1—cos2x . tan3x j) im—— k) lim——_— |) lim——_ rod? x0 ro0 3tan 2x 4. a) Evaluate lim ane so0 N+ six b) Describe how you evaluated the limit in part a). 5. Determine each limit. ¥ sin= 5 sin cos x a) lim. c) lim———— x0 x x40 x sin? x 2tan? x d) lim. f) lim——— x30 xCOSX m0? l—cos2x a cos 2x-1 g) lim—— i) im———_ m0 0X mo Oy?