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Solved Examples
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eee Evaluate: limz [7+12cos 2z48z+7] eee View Solution
eee Evaluate: limt0 (22t cos (94t))
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eee Evaluate: limw (12sin 9w + 39w3w)
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eee Evaluate: limr (5cos20 4r+34+9r)
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eee Evaluate: limz0 (8z2 sin (178z) + 43 )
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eee For all r [- 1, 1], r4+7  f (r) 3r4+7. Find limr0(f (r) + 15)
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eee Evaluate: lims [5sin10 5s+10s+365s+6]
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eee Evaluate: limq0 (10q(sin8q + cos8q)+13)
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eee Evaluate: limu- ∞ [u2(6cos 4u+10cos9 4u)(u2+8)(u-6)] eee View Solution
eee Evaluate: limx0(3x4(9sin8x2 - 12 cos8x2)+10) eee View Solution
eee Evaluate: lims0 (7s2 sin3s cos3s + 14) eee View Solution
eee Evaluate: limu(12sin (12u) + 16cos (12u)20u2) eee View Solution
eee If 8cos x + 40 ≤ (x) ≤ 48 + x4 for all x [- 1,1], then find limx0 1f (x) by assuming that it exists. eee View Solution
eee Evaluate: limk [7cos 14k10k8]
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eee Evaluate: limp [6sin (14p)11p10]
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eee Evaluate: limv (8sin 13v17v6) eee View Solution
eee Evaluate: limv 8v4-sin 8v+1010v4+8 eee View Solution
eee If 5sin (u12)+107h(u) ≤ 5sin (u4)+107 for all u [- 1, 1] and limu0 h(u) exists, then find limu0 h(u). eee View Solution
eee If 2cos (q10)+107g(q) ≤ 2cos (q30)+107 for all q [- 1, 1], then evaluate limq0 g(q) by assuming that it exists. eee View Solution
eee If 8sin 11u + 13 ≤ g(u) ≤ 21 , then find limuπ2 g(u) by assuming that it exists.
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eee 3m4+66(m) ≤ 3m2+66 , where m [- 1, 1] and limm0 (m) exists. Evaluate limm0 (m).
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eee If 7sin16p+ 246  g(p) 7sin10p + 246 for all p [- 1, 1], then evaluate limp0 g(p) by assuming that it exists. eee View Solution
eee Evaluate: limk 9cos (16k)11k2 eee View Solution
eee If 4+49v4  h(v) 4+49v2 for all v [- 1, 1], then evaluate limv0 h(v). eee View Solution
eee If 8cos8w+357  h(w) 8cos4w + 357 for all w [- 1, 1], then evaluate limw0h(w).
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